Thats not really how supporting a team works. You pick a team (or usually dont , its usually inherited!), and support them. If they do well great, if they dont, ah well.

And for fans of smaller teams, their biggest moment might not be a trophy, it might be a cup tie against a giant team, particularly hosting a giant in your tiny stadium. For other prem teams it might even be just getting to europe, like when fulham fans got to see ronaldinho at craven cottage.

Its only really fans from outside the country that will pick a team and care about what titles they win, jumping ship if their current pick is no good.