TBF when I was younger going out in central London, I never wore a coat.
It’s a pain to carry it, watch it so it doesn’t get stolen, have beer spilt on it so it stinks at work on Monday (I only had one coat when younger and poor), queue to put it in the cloakroom and collect……. As said above, I just drank loads which warmed me up, then got a cab home.
And no London bar tender would have ‘loaned’ their jacket to a clubber - they aren’t earning much and need it to get home themselves! They’d never see it again.