I have worked with very rich people (not as rich as Abramovich of course), but rich none the less (also i'm not rich). These people believe money solves everything, what they don't have is time. With football, a few losses can kill a season and they have to restart again next season, and these 'rich oligarch capitalists' want to win it every season, and every competition. Sacking the coach sends a message of who's in control, you get paid to do a job, and if you don't do it you're replaceable. It's as much about Frank as it is everyone on the squad and anyone down to the lunch lady that steps foot in stamford bridge. The players are paid more than other players so they need to win, otherwise he'll pay someone else. This isn't like Everton who haven't won a competition in 25 years and continue to persist with the same manager for a season and a half even though I personally agree to give a manager a fair shake.
Personally speaking I find men like Abramovich pretty evil, some will say they're smart and calculating and logical, but imo its greed and an abuse of power. The most depressing part of extreme wealth, is that its mostly a game, the people at the top are all looking to surpass each other, if they don't, they're worried they'll get taken out even though its just part of their imagination.
Also anyone wondering why a manager like Carlo would come to Everton? Guys like Abramovich is exactly why. In Carlo's books, Carlo hasn't exactly failed at any of his clubs, but its always been a small matter that got him sacked. At Real he lost a few matches and he was out, they were second at the time i think. At Bayern, his players threw him under the bus. At Napoli he sided with the players and not the owner. After all that - it totally makes sense to come to a stable club like Everton rather than another corporate club like Arsenal. Its probably the same deal with James. After you get a taste of the big clubs and the way they operate, had the fame, you go where you can do your best work.