Yeah I agree, of course they want to win stuff. But they also put a very firm focus on wanting to rake in money. They aren't mutually exclusive so it becomes a question of what emphasis you put on both goals.
There is a story persisting from the Jose sacking that Mourinho wanted to rest players against Southampton to have them raring to go in the League Cup final and Levy told him he had to play a strong team v Southampton because we still had a chance of CL. If that's true, then it says two things. Levy prioritises CL over cups to such a degree that he'd rather take a punt on a long shot at getting into CL rather than a pretty good chance at a trophy.
It also says he interferes in first team selections which is, for me, an absolute no-no for a chairman.
Sounds like fan fiction to me