As for the 'expecting handouts from Abramovich' and 'entitlement', I obviously can't speak for each of the several million 'fans' of Chelsea, but for me, I have no idea what you're talking about.
I don't expect anything from Abramovich. He has saved the club, it would have gone into bankruptcy and done a Leeds by now, because Bates ran the club into the ground, spending way beyond sustainable means. That in itself is enough to secure him the never ending loyalty of Chelsea fans, but then he went and spent so much, out of his own generosity, on actually improving the club's standing, which is why he is regarded as a hero in the eyes of pretty much all Chelsea fans. He is so popular because the fans feel that he is one of us- not some corporate moron who's only out to make himself a quick buck like the Glazers, but somebody who cares enough about the fortune of the club that he is willing to pay out of his own pocket without wanting any monetary return on investment. In short, he feels like an old school owner, a football man who has some money. Because the club is so indebted to him, nobody expects or demands anything from him. Whatever it is he wants to dole out is accepted gratefully.
The stadium move was rejected, with good reason. Chelsea may not have a historical tradition of success, but we do have a long and proud history nevertheless. There are loads of sentimental things that tie the fans to Stamford Bridge. For one thing, the greatest ever to play for the club, Peter Osgood, has his ashes buried beneath the pitch. The stadium is the site of the old Chelsea, a perpetual reminder of times when things weren't as good. You can't expect people to want to give that up- would it be reasonable to expect the England Cricket Board to stop playing matches at Lords just because it's more profitable to play at the Olympic Stadium or whatever? Also, there were no suitable areas nearby Fulham/Chelsea where a stadium could be built. The identity of the club has always been its location, moving to somewhere several miles away doesn't sit well with the matchgoing fans. Finally, the fans naturally are holding onto the only guarantee they have left. There was no indication from the board that a similar share deal would be reached at the new stadium, allowing the shareholders to maintain control over the stadium and the name of the club. Giving Abramovich total power would be a risky move- yes, he is popular, yes he is extremely generous, but the fans don't trust him because he has repeatedly shown that he doesn't really care what they think. Abramovich could well end up doing an MK Dons and moving the club to Moscow if he felt like it. The current Stamford Bridge deal means that he can't do that, the club is tied to the stadium and the stadium is owned by the fans; if he wanted to move the club he would have to terminate the contracts of every employee, set up a new club in Moscow that can't be called Chelsea FC, and then re-hire all the employees and players.