Tom Landry and Bear Bryant wouldn't be caught in those pubs.
And I most likely wouldn't be either, but not because of hats. With the nationwide smoking ban in UK pubs, it's now no different than the public houses here in the People's Republic of Washington State, which I also don't go to.
If I can't relax with a cigar, the the reasons for going out to a public drinking establishment have just decreased exponentially.