Parquet engineered wood too much in 3 rooms?

[GetUpStandUp4]

I live in a 1930s house and prefer flooring to be consistent throughout the house. I'm thinking about parquet style engineered oak downstairs in the living room, kids playroom and study (tiles in hall, kitchen, utility and loo). I plan to add large plain style rugs in the rooms but wondered if the parquet style would feel a bit much/too busy?

I'm also struggling with engineered wood vs vinyl tiles (lvt). I know vinyl is a lot more practical with 2 kids and 2 cats hut wood has a nicer feel. Is engineered wood a stupid idea? Will I regret it? The one we're looking at is brushed and lacquered, a 4mm wear layer and a fairly substantial core.

We have 'fake wood' vinyl. It has a texture to it, like all plastic floors looks nothing like real wood anyway, has faded horribly in the light in places making it look a ghastly pinky brown, and is a pain in the butt to keep clean due to the unconvincing texture of the surface. Real wood, preferably oiled or treated properly (not varnished) is much easier to keep clean and looking good, whether engineered or solid, IMO, and I've had both.
We're going to be doing our whole downstairs here in solid parquet- as it was in our previous house when we bought it (all bar the kitchen but we put parquet in there as well). We put engineered wood in the conservatory, which was fine too.

@GetUpStandUp4 Why would you have expensive parquet and cover it with rugs? Surely the whole idea of parquet is to see it in all its glory? 4mm is mid range for wear layer. I’m not a huge fan of it in smaller rooms as I do think it’s busy. Large rooms it’s great but I do agree with same flooring in all rooms or it’s bitty. My only comment about wood is that it will mark with chairs moving on it. So dining chairs and office chair can mark it.

We have engineered oak all downstairs, but the oiled wide plank version, so through a large hallway, 2 reception rooms, kitchen- diner, utility and conservatory. I like it, it’s uniform and pulls everything together. It does need re oiling approximately yearly and it does scratch a bit. My advice would be to get a characterful finish that is oiled not lacquered so any marks just blend in and can be re oiled out, rather than not being repairable. It needs cleaning more than you think with specialist products. You will need to protect it from furniture scratches. It will probably darken as it matures too.

We had oiled herringbone engineered wood throughout the ground floor of our last house. It was beautiful and didn't look too busy.
We had 2 very big dogs (and lived on the edge of a muddy field) so it was difficult to keep clean as you can't get it too wet or mop it. Ours was V4 and we used their cleaning spray and a dry mop.
I would have it again if I didn't have dogs!