Other than teams in red and Everton fans, the rest of the footballing community probably doesn't care much one way or the other. There may be a bit of 'rooting for the underdog' but that isn't unique to City and, as underdogs go, Everton aren't like Cheltenham, for instance, it's bit more evenly matched and hence they probably won't attract as much sympathy.
their is the rooting for underdogs but when does the tv channel BT-sports or skysports ever want city to win anything
even in europe and the last english team in the competition you can bet BT-sports will not be wanting city to win