No, not a trolling, nor an attempt to get TJ all worked up. I always wear one on road or off. However, did a Surrey Hills ride today and for the last climb up onto the NDW from Shere, I took off my hat and strapped it to the backpack, on the basis I wasn't going to crash and even if I did, by then I was doing about 3mph so hardly risking much.
What a difference! I never realised how hot your head was even in a decent helmet (Giro E2 fwiw).
And it wasn't even hot today.