Even temperature is a crap proxy of warming
Heat and temperature are not the same thing.
Start with large lump of ice floating in a bucket of cold water. Temperature approx 0 degrees.
Heat the bastard with a propane torch until 50% of the ice has melted (ie you've added a shitload of heat (aka warmed it)): temperature still approx 0 degrees.
Temperature means nothing.
Go look in the FOIA leak and you won't find mention of heat in the models - just temperature. Any model that is based on temperature, and not heat, is just broken bollocks - tweaked to fit an agenda.