BA does not… I have happily served alcohol to people in exit rows, including self help on the A319/320 aircraft. However, I will draw the line sooner with them.
Example, on an LHR to Prague flight, a group of guys going for a stag weekend were sat in the exit rows and were having a good time and a laugh with us all etc. and that was fine. However, after a couple of cans of lager each, we had a very simple and frank chat, and I just explained their responsibilities again in regard to the exit row, and my duty onboard as a crew member… They all took it seriously and had a cup of coffee instead.
I have also moved people out of exit rows when they have been questionable, based on their alcohol consumption.