I think perhaps the importance of that depends on how... unified the group is, you know?
If there are 3 people at a dinner table and one of them is acting badly, definitely hold the other 2 accountable.
If there are 1,000,000 people in a political party and 1% of them are acting badly, I think the 99% and the leaders are somewhat responsible.
If there's a vague concept like "cultural appropriation" or "cringeworthiness" that isn't owned by anybody, I don't know how practical it is for people using the term to really have responsibility for people that misuse it.
At some point there's just a practical limit I think.