@winterrabbit in which case, I can definitely speak to this particular mix. This is going to be long, so I'm sorry in advance.
Honestly, the Golden Retriever and Poodle or 'Doodle' do not need crossing with each other and the puppies that are the result of this pairing are never as healthy as people think. There's two reasons for this:
(1) The breeders will the healthiest Goldens or Poodles, who are the sorts of breeders you would want to buy from (put their dogs welfare first, do not get rid of the dog when it can't breed anymore, are selective about who they sell to, breed the healthiest puppies with the best temperaments) are simply not mixing their pedigree dogs. Why? Because they breed to make their breed better. For me, I breed Golden Retrievers.
I use this example a lot, but the boy I own...I could make high 5 figures from studding him. His hip score (I assume you know what hip scores are if you're looking at Golden Doodles or similar) is 2/3. His mother's hip score is 3/3 and his fathers was 4/3 (to give an example of how well bred he is). The breed average is about 17 total. All my boy's other health scores are equally incredible. He, along with his mum, are some of the best examples of their breed in terms of health but also temperament I have met. But I will never breed him with a poodle (or in general). Why? Because I breed to make Golden's better. As with all the Golden Retriever breeders I would recommend, I breed for the love of my breed. I don't breed for profit. So, if you accept that the best and healthiest examples of the breed are not being used to breed these 'designer doodles' then you also need to accept that the puppies that are being bred are not being bred from the healthiest examples of the respective pedigree. That means when you buy one of these dogs, you are already at a disadvantage in terms of your dogs health and future. Many of these dogs do not come from fully health tested parents (and there is never an excuse for buying a puppy if the parents are not fully health tested) and, even worse, many of them come from dogs that are not even health tested at a basic level.
(2) People often think if you breed two pedigrees you get rid of any health issues. But that's not true. If you accept that statement (1) is true, then you need to accept that the less healthy dogs are being used. Breeding two dogs that suffer from hip dysplasia, i.e. Poodles and Golden Retrievers, means your puppy still has a chance of developing the issue and, if you are producing a puppy from two dogs that are not the best example of their pedigree, your risk of that puppy having these issues is much higher.
Golden Retrievers are prone to all manner of expensive and, if not properly bred or - in very very rare cases, you are simply unlucky - life-limiting health conditions. That includes hip dysplasia and elbow dysplasia (which could leave your dog barely able to walk - which, in an energetic breed, is awful. And in turn often results in either a miserable dog or a dog with aggressive related issues [due to lack of exercise/stimulation] or behavioural issues [due to lack of exercise/stimulation]. They are prone to PRA, which again is life-limiting - you couldn't have them off the lead, for example. They are prone to heart attacks. They are prone to cancer (which can, in part, be mitigated by careful breeding).
'Oodles' or 'Poodles' are often prone to those exact same issues.
So, that's the health issues (which are, of course, expensive). Now, behavioural ones:
(1) Golden Retrievers are highly intelligent (except mine - I seem to just breed idiots - although mine have all done field work) and therefore require brain stimulation and training (and I do not mean just kongs and lick mats). They are high energy, even the 'show' lines and need at least 90 minutes a day. They are are incredibly mouthy - and they bite, hard. Even as adults, mine nothing more than walking next to me on a walk with my wrist in their mouth. They are also big. I've known them be as big as 48Kg - and that dog wasn't even fat. They are also pre-disposed to some truly difficult behavioural issues such as resource guarding.
Worse than all of that, they are really sensitive. That means that, very often, they are not great with children - despite what social media tells you. They don't like being tugged. They don't like being yelled at. If you are not there watching your dog and your young children then there will be an incident. I am involved in my local breed club and sometimes with Golden Retriever rescuing, and about 90% of the dogs we get in are being re-homed because they have 'attacked' (usually just a bite or a snap tbh) a child in the home who was, we often find out, tormenting the poor animal. And, of course, when something like a Golden Retriever snaps the bites are very nasty.
Oodles and Poodles have similar behavioural issues.
Most good breeders will breed for temperament as well as health - that means it can takes months, if not a year+ to find the right dog. Yes, it's not a guarantee. But how much effort do you think Oodle breeders are putting into finding the two right dogs to produce a litter - both in terms of health tests but also temperament? I spent nearly a year finding a stud for my last litter - I had detailed notes on every possible stud, their parents, their grandparents, their achievements in the ring, their achievements in working etc.
The risk you run, with a dog that has not been carefully bred, is these temperamental defects are even more likely.
Don't get me wrong. I love my Golden Retrievers. I wouldn't be without them. But, for all the above behavioural reasons, I would never sell to someone with young children. Most good Golden Retriever breeders (and most Gun Dog breeders tbh) wouldn't simply because we know our breeds so well and we know what the risks are. So what does that tell you about the 'Doodle' type breeders who do? Because they certainly aren't putting animal welfare, or the puppies future, or the safety of any children in the home, first.
Ultimately, the chances of you finding one of these mongrel breeders who put in even half the amount of effort a good pedigree breeder does, and has dogs that are as healthy as a good pedigree dog, are about as high as mine at winning Euromillions.
I've bred Golden Retrievers for just over 20 years now and DMum did it for 30 before me. I'm not necessarily a dog expert, but I would like to think I am a Goldie one. I raised my kids with Goldies. And that is why, even though I did raise my children with Goldies and DMum raised me and Dsis with Goldies, neither DMum nor I have ever sold to people with young children - because we know how hard it is to have a dog this big, that is so sensitive and so intelligent but also so stupid - and often doesn't understand 'no' - around young children.
But, you should ask yourself this: what is about Golden Retrievers that you don't like enough that you wouldn't want one, but you're willing to risk those behaviours/genetics in a mongrel? Because it is a risk. There's a very high chance the things you do not like about a Golden Retriever would be prevalent in any dog of the mix you are thinking.