The thing is that even in the interpretation of "Bruce let the kids be Robin because they would've gone out on their own otherwise" you can't actually deny Bruce's selfishness, at least when it comes to Jason. Even with the idea that Jason wouldn't have gone home with Bruce if he hadn't been offered Robin (which I don't subscribe to,) Bruce still only took him in because he missed Dick.
"Oh but you just said that he would've been running around alone anyway-" Bruce made Dick step down from being Robin because Dick got shot during a fight with Joker and almost fell to his death. Bruce specifically ended Robin because he couldn't risk Dick dying. And yet when Jason comes around- they meet twice before he offers Jason the position of Robin. And when Dick asks about it?
Bruce outright admits that Jason was there because he'd missed Dick. Because he felt lonely. In universe, Bruce knew that the idea of a child sidekick was both dangerous and senseless, and yet he still took a child home, put him in his eldest's clothes and took him out into the night to get himself killed. Which Bruce knew could happen.
It doesn't matter if Jason would've gotten himself killed on the streets anyway. Bruce's decision to make him Robin wasn't based on that. It was based on selfishness and the love he has for Dick Grayson and Dick Grayson alone.
If Dick had come crawling back on his knees and begged to be Robin again Bruce would have all but shut him off. But Jason (and the other, subsequent children) have always been less valuable than Dick. So he can take them out to die, because it means he keeps Dick alive.