These are literally within its remit. It's the "Educational, Scientific and Cultural Organisation". All of these issues are educational, scientific or cultural. And even so comparing research around gender with the indisputable fact of climate change is a rather twisted way of reasoning.
I didn't say out of its remit, I said outside its original scope. The plain fact is these programs are newer and I don't believe in funding them.
UNESCO was previously a body that did some social justice stuff and a bunch of heritage work. Now it's a body that does a lot of social justice stuff and heritage work hijacked by chinese agitprop. The case for withdrawing previously was decent but these days it's pretty clear.