This tends to happen a lot in environments where business attire is a must. It's harder to find a good compromise when some people wear business suit and tie and some wear skirts or open shoulders. And that's even before you factor in possible physiological factors (people have different comfort zones).
If you've got menopausal women that's a problem too, and I think perhaps women and men just have different temperature preference distributions.
My kids teachers (all female) refuse to let the boys wear shorts except in Summer term because the teachers consider it not to be warm enough .. but they wear skirts and dresses all year .. which is weird.
Established norms on dress and room heating/cooling are pretty arbitrary I feel.
I bundled all that under "physiological factors". There are also sociocultural factors at play but that's a minefield of a discussion. It's how gender stereotypes are born and educated into kids from a young age.
I have yet to experience an aircon war in Germany, but there is also a pattern where men want to open a window to keep the air fresh, while women find it too chilly and want to turn on a radiator instead (of course there are exceptions).
I can't get much done in radiator air, so that's one more reason to work from home, or in well-matched office rooms.