They absolutely do.
When City beat Villa to win the title i was with the Tampa Bay Blues in a bar with fans from all clubs including a large number of Liverpool fans.
At the whistle we all went mad, jumping around and the usual American high fives etc and the next thing you'll never walk alone comes on via a DJ waiting for the games to finish to blast music.
There they were, all stood up, arms aloft holding a scarf. Not one came over and congratulated us, instead everyone in the pub was now watching them. They made it into a celebration about them.
I went over to the Dj and said WTF?
Poor bloke hadn't got a clue who won it or what song was for who.
I put him right and next up was Blue Moon and wonderwall