I sweat from my head, a lot and in all weather. I can't wear anything that completely blocks ventilation and seals in the sweat.
I have a winter-weight cycling skullcap, and a choice of balaclavas to wear in winter.
My
Giro Ionos helmet (not the one in the avatar) came with a cold-weather insert. You remove the pads and put the insert in their place.
I can usually find the right balance of insulation and ventilation.