Two points- one about dorming, one about the OP’s point.
1- Saying “assuming they’re equal” is very difficult because no two Yeshivos will be. Dorming is a risk. I started dorming around halfway through 9th Grade (I lived less than a ten-minute drive from my house) and although I was surrounded by my Rabbeim during the day (just like before I dormed) at night I was surrounded by a bunch of high school kids- some whom were good influences, some who weren’t. For some being surrounded by those learning 24/7 is a very good thing, but sometimes it’s better to be able to leave the bad influences behind. It’s a case-by-case decision that can’t be made in one sweeping statement.
2- This completely depends on the parent. Some parents are like that, some aren’t. Those that are have to speculate whether or not that’s a good idea, but that being said, do you really want a six-year old to be fixing the sink? He shouldn’t have to be that mature yet, and we see it as a tragedy when an eleven-year old have to take over as the “man” of the house. Kids should have their childhood and shouldn’t have to act mature until they’re of that age. Until then pretending to be is cute, and that’s a good thing.