If we're talking about games out in the park, then football is "part of a working class community" that way. But most major clubs consist of eleven millionaires (plus reserves) controlled by a billionaire. Nowadays the players and the owners have little connection to whichever town they are based in. Nowadays, many of the fans of English clubs, and even the Old Firm, have never lived in (or near) the cities the clubs based in. They may have never even lived in the UK or the same continent. Man U is the most obvious example, but there are plenty of such fans of other such major teams.
Even if we go back a hundred years, the major clubs were owned by factory owners and other such types. Profit was a motive even then but not to the modern day levels where the jerseys change every other month to milk the fan base.
If you want working class football, then it's well outside the premier leagues and even first divisions. But unfortunately that's the stuff most people are interested in watching.
Anyway, I've probably written way too much on this subject. Other sports are available. Some of them are a lot more entertaining too.