It may have a gendered connotation some places, I definitely don’t think it does in my English-speaking country (Australia). Screeching primarily used for inanimate objects (wheels, alarms, etc.) and animals and then secondarily mostly in a non-gendered way for children.

Interestingly the examples in both the entry from Oxford that Google brought up when I searched the term, and the second example in the Cambridge dictionaries are both boys doing the screeching. The other examples are inanimate and screeching describing the experience of tinnitus. So it seems the UK is similar.

So potentially for much of the English-speaking world this term wouldn’t bring up thought of any kind of gendered slur. So it goes both ways - just because something is the case in your region doesn’t mean it’s true across the board.