I’m inclined to agree with OP, however, I think the older generation have massive double standards around this.
A lot of boomers and older Gen X seem to think they’re entitled to say what they like, when they like (I mostly agree with this, for everyone) and are quick to make accusations of snowflakery when someone pushes back on them.
But the moment anyone says anything they find offensive the boot is suddenly on the other foot.
A meta example of this are two threads that were posted on AIBU about how different generations are problematic in the work place.
The first thread was about how difficult Gen Z and Millennials are to work with (posters claimed younger workers expect special treatment, everyone to go along with their whims, and lack resilience.) Anyone that went on to disagree was told to suck it up etc.
The second was on the problems caused by older workers (who the OP and some others claimed expect special treatment, to always call the shots and for everyone else to take their shit).
The former was up for days, and is probably still up now, while the latter was taken down within two hours after MN’s most resilient posters went on to complain about “ageism”.
Another example is GC feminists, full of piss and vinegar about free speech..right until someone disagrees with them.
Resilience is another one; as someone who spent a number of years in customer service (in a shop and then call centres for various financial organisations) the most epic tantrums came from boomers when I had to tell them that I couldn’t magic up an out of stock product, or change their terms and conditions just cos they said so.