'Gammon' is a political critique.
It's about privileged older men displaying outrage at progressive things in society. It's a bit rude to say their faces are bright pink, true, but it's a Hogarthian perspective. Their fine living, age and experience, instead of giving them wisdom, have given them red-faced apoplectic outrage - they could solve the problem of looking like angry pigs bu changing both their mood and their opinions.
'Karens' are also people who are rude and entitled, and I don't really mind the name as much - I do think it risks putting all middle aged women in a stereotype as the name for the problem is the name of actual women. If they were called 'Spewing pipes of vitriol' or something that would be better, for me! It is worth satirising and holding up to ridicule people who want to see the manager and get very angry for no reason. Just not by personal name, or any characteristic they can't help, like height or race or whatever.
Something like huns is also classist and focuses on stuff women like to do, so that's a bit rude too in my book. But huns to me are also people who lack critical thinking and have rows on social media, and again, it's named after something a person would say, not who they are. For me it can be legit satirical as it goes along with some anti science things like anti vax or antisocial behaviour like "your baby your rules hun".
Prosecco Jen isn't something I would say. "Wine o clock women" might be ok if it's a series of behaviours we need to call out. But I would still question why we need to call out the behaviour through a satirical name. they're not hurting anyone. It's just taste that you don't share.
Other behaviours often found in socialised female groups, like "Queen Bee" are perfectly fine to lampoon.