So basically one feature of my world is that there are sleeping giants (ice and fire being the important ones here) and I want them to affect the climate around them, making places hotter or colder.
I'm focusing on the ice giants in this question (and might do a second one for the fire giants if the answers differ enough from what I'm expecting).
You can just assume that each giant is a house-sized object that absorbs heat from the surrounding area. Don't worry about where that heat is going, it's just gone (magic basically). This happens at a fairly consistent rate (though that rate is variable, whatever would achieve the effect I want), non stop.
So my question is, would this create a colder climate in the area around the sleeping giant? Would it turn an otherwise temperate region into tundra or would it create weirder weather conditions, storms etc. instead? Or would it have little noticeable effect at all?