Do you want:
A) Sneaking a win against city, Ole staying, poor coaching leading to more lost games, trophy-less season and watching Ronaldo play in the Europa next season. Win the battle, lose the war.
or
B) Losing decisively against city, the board realizing Ole is not good enough. Getting a new world class manager to win more games in the future. Chance to salvage this season, finish top 4 and maybe fluke a run in the FA cup or CL. Lose the battle, win the war.
Explain how picking A makes you more a "true supporter" than B? Every fan wants to win. Some fans want to win more in the long term if it means losing in the short term. Others want to win in the short term without caring about the long term. Having said that option B looks very unlikely now given that Spurs have snatched up Conte.