Your question is disingenuous, as the word "boomer" didn't appear isolated with no context. The statement was "the baby acts like a boomer", which clearly has a pejorative connotation--you yourself recognized this when you asked "Which demographic was casually insulted here? The babies/third children?" ... it's not even possible to think that babies are being insulted without thinking that saying they're like boomers is insulting. As I said, that seems to be an unquestioned assumption.

As I said elsewhere, there is no single way that boomers behave. Boomers are simply people born in the post-war boom, from 1946-1964, and they display a huge range of traits. Virtually all statements referring to boomers collectively that aren't purely statistical are pejorative--ageist bigotry.

> what one is allowed to say

This oft repeated nonsense is bad faith. You're allowed to say whatever you want, and people are allowed to respond.

I've said my piece and won't engage further.