Not really, there are billionaires who put money into a club because they see it as an investment and they will get it back further down the line or when they sell the club, most owners fall into this category. When this happens all of the income the club spend eventually derives from it's fan base.
Then there are owners who are spending money they know they will never see again, who are doing it for political or personal reasons, here the size of the fan base doesn't matter as the fans are not paying for their football club. To me that's not football.