I'd think the local temperature wouldn't transfer to the crust very quickly; but that the overall global average would slowly affect the crust. Certainly melting tundra/permafrost changes the insulation of the crust locally.

I've long wondered if rain might affect quakes by adding weight and lubrication (but that isn't very likely; too close to surface)(but maybe...).
Think of lubrication and weight changes under glaciers!

Even the moon causes the crust to raise several 10's of centimeters (several decimeters?).

Pyrolysis creates reduced carbon! ...Time for the next step in our evolutionary symbiosis with fire.