don't do it because they associate feminism with radicalism or feminazis or anything else the right has pushed. They don't associate with feminism because every time they've done so they've been sneered at by people in the movement who were more than happy to yell at them until they gave up on it. There are actually multiple threads in this forum right now about how much younger feminists suck, so denying that it happens is sort of pointless.
The thread you linked to didn't even make it a single response before it was younger women's fault that ground was lost. Losses that are largely blamed on women that couldn't even drive during the time the losses occurred.
They don't view feminism as some radical political theory that wants to elevate women at the expense of men. They view it as "A bunch of old women that are going to blame everything on my generation and blame anything anyone my generation does on me specifically.". Good luck convincing them otherwise when articles with titles like "Don't Trust Any Feminists Under 30" are being well received.
It isn't a problem that's exclusive to feminism, either. I've been to progressive meetups that I left thinking "Well fuck this noise. I've never met a bigger bunch of condescending asshats in my life." Apparently I was doing liberal wrong all these years.