Don't all football fans want to see their arch rivals get soundly beaten?
I used to live in Sheffield Wednesday territory. Their supporter's favourite chant includes these words:
"Never felt more like singing the blues,
When Wednesday win,
And United lose"
https://www.fanchants.com/football-songs/sheffield_wednesday-chants/singing-blues/
Owls' fans love it when the Blades get thrashed by anyone and Blades' fans love to see Wednesday soundly beaten too. (The only thing that they can agree on is that both hate Leeds United, with venom!).
Here, in Ipswich Town territory, the news that Norwich City have just lost heavily is always greeted with great joy, whereas up the road in Norfolk they're no doubt delighted when the Tractor Boys are on the receiving end of a hammering.
I have little doubt that most Manchester City fans want to see Manchester United lose (and vice versa) and that the same applies between the fans of Everton and Liverpool.