I'm pretty sure that the trope (as they call it) is rooted in biology and can't really go away. My theory is that it's been replaced by something different but still the same. I don't watch many movies so I don't know what.

Wikipedia has an article about it but doesn't have anything to say about its replacement, though it discusses reversals where a woman saves a man. But I find it hard to believe that the reversals will become popular.

Or perhaps I just don't get it. Perhaps the kids nowadays don't care who saves whom. Or what. In that case young women watch romantic movies where men have to saved and young men movies where men save only robots or planets or other men.

https://en.wikipedia.org/wiki/Damsel_in_distress#Empowered_damsel