These demographic trends, in the west at least, will continue until we solve wealth inequality which we seemingly aren't going to do until there is eventually violent revolt.
The correlation between inequality and fertility is one of the most counter-intuitive parts of demographics. While it's true that the poorest strata often have the most children, that doesn't necessarily mean "fixing inequality" is the lever. In many cases, it's the aspiration of the middle class that kills fertility - the high cost of maintaining a certain standard of living and providing a competitive "start" for one child makes having three or four feel financially impossible
I doubt it. Of do we’d see the supermajority wealthy people having lots of kids. As it is now the people most apt to reproduce are in the lower strata of the economy.
Neither you or parent have proven your position. Parent made a “conventional wisdom” statement without providing data; you shared three examples, and as the saying goes, the plural of “anecdote” is not “data.”