No they dont and neither should they.
Do all football clubs get equal coverage to City? Everton, Leeds, Villa, Cardiff etc etc. It only seems an issue when were not getting the same extent of coverage as others but no one is screaming bias when it works the other way.
Also if the BBC was to be completely equal should lacrosse, ten pin bowls , synchronised swimming receive the same coverage as football? Rural Norfolk receive as much coverage as London/Manchester?
Of course not. The BBC like all websites is governed by popularity that is why football typically dominates the sports coverage not crown green bowling. Certainly not unique to City.