You do have to hover over a very small DC. I was under the impression that DCs wouldn't attempt anything they couldn't do-was of my silly misconceptions before DCs-disproved by DCs who regularly got stuck at the top of climbing frames. It is difficult, my DS3 copied his brothers and was up tall slides etc very young. I let him do it but I couldn't just sit and ignore him. He had a trip to A &E when he was being supervised on a seesaw and ,with no warning, decided to get off at the top!
You do need to supervise but you have to know when to stop! I think that many people may shadow a 7yr old to a corner shop, but they can't shadow an 11yr old to the school bus and they certainly can't shadow a 16yr old to the cinema with a girlfriend!
There is always a lot of debate about when people can leave a DC alone at home. If you feel that you can't leave an 8 yr old for 10 minutes, it is fair enough, but you should aiming to do it in the near future, certainly by the time they are 11yrs and you can't put a 16yr old in after school club or get a babysitter for them!
There is always debate about how much DCs should do in the house. Posters will say that you are really mean to ask a 4 yr old to do anything-again fair enough-but the aim should be to get them doing things before they are 11yrs and certainly they should be able to do everything by the time they go to university.
There are parents who don't let them do sleepovers, even with granny and then cry when they go on a school trip-as if this shows how much they love them!
Being a parent is hard and wrapping them in cotton wool and making sure they are never hurt, don't experience boredom, frustration,loneliness, anger etc etc doesn't do them any good. They can only learn to deal with them if they experience them.
Your DC could join the army at 16yrs old so they can certainly catch a train, cook a meal, iron a shirt and have an evening alone at home while their parents are out. If they can't catch a train at 16yrs it is truly frightening that they can get on a plane to Peru less than 24months later (if they have the money the parent can't stop an adut)with no learning curve between!
Being a parent is a process of letting go gradually so they are self sufficient by 18yrs. The other way is to smother and over protect and then you either don't see them for dust as they escape or you have a fearful DC who stays at home with mum because 'it is a big scary world without her'. However maybe the latter is what people want.
(I am not talking about DCs with SN)