What about the scenario where the child makes good choices, despite the bad choices of the parents (other than obviously the child's extremely poor choice of not being born to valuable property owning parents in the first place?) Lets call him Child B.
Child B's parents live in a succession of rented flats. They hold down jobs, mostly, in semi skilled areas and get by, mostly. Child B is clever and works hard at school, goes to university and qualifies in one of the professions. By the age of 28, Child B is earning 50k pa. They wish to buy their first home, but can't find anything for 3 x their salary plus the small deposit they have eventually saved by not going on holiday, not buying cars, etc.. Eventually, after meeting their wife to be, who works in a similar job, by the age of 33 they both manage to buy a one bedroom flat together within commuting distance of the expensive city they have to live near for work. They would love children, but cannot afford for either of them to reduce their working hours or go on maternity leave for another 5 years at least.
Child A, Child B's work colleague earning the same salary, is born to parents in a provincial city, whose home is worth £650,000. Child A along with her sister, inherits half of £650,000 free of inheritance tax at the age of 28. This windfall of £325,000 means that after buying a nice car, going on some fabulous holidays and so on, they have £275,000 to buy a nice flat and pay stamp duty and purchase costs.
Incidentally, Child C, Child B's brother, knowing that he has a big inheritance coming, has never bothered going to university or working regularly. He has the sense to use his windfall to buy himself a studio flat, so he can continue his lifestyle of peripatetic low skilled work and long foreign holidays.
Who made the bad choices in this scenario and who ended up the best off? Its a very normal scenario in society today.