I like tube amps so much, I am willing, and do use them in the summer, as well. I just don't sit that close to the amps and am lucky enough to have central AC which I imagine you have as well. I don't want to sound insensitive and can imagine being in a position where the heat may be a nuisance.
As for your question I don't know whether more watts produce more heat necessarily but if I was betting on it I would guess yes- it seems logical, that is for most cases. My 78 watt per channel monoblocs certainly make more heat from their 4 output tubes than my old 40 watt integrated which had two. In addition the monoblocs use somewhat larger fat bottle 6CA7s vs the E34Ls (A JJ invention).
As for your question I don't know whether more watts produce more heat necessarily but if I was betting on it I would guess yes- it seems logical, that is for most cases. My 78 watt per channel monoblocs certainly make more heat from their 4 output tubes than my old 40 watt integrated which had two. In addition the monoblocs use somewhat larger fat bottle 6CA7s vs the E34Ls (A JJ invention).