There are tons of women who enjoy the damsel in distress trope and think it’s harmless fun.
There are also tons of women who think it perpetuates sexist stereotypes against women.
Both groups of women’s opinions are equally valid.
Does this not prove that the statement is independent?
No the real world operates by physics which is consistent, but above that are artificial constructs like damsels in distress, that are inconsistent. There’s no world in which those things all work as advertised. We just get by anyway.