"Airflow will *increase* the temperature of the airframe "
Not in any major sense below Mach 1.
Concorde (and any M1+ vehicle) got pretty hot due to skin friction, but it's a very minor factor sub sonically.
Mind you if you're going to fly over Blighty at high altitude (or indeed anywhere at high altitude) and fairly slowly anti-icing gear sounds like a good thing to fit as standard.