Not really. It was always obvious you could break into the top four. You just needed an owner with a massive bankroll.Not sure what you mean. The big 4 was Arsenal, Liverpool, man United and Chelsea. So the sentiment that only one of them could win the title was broken by man city.
Leicester are a completely different case. Since the EPL started (not well versed on the first division before then, 90s baby) it has been obvious the gulf between the likes of United, Arsenal, Chelsea etc has been massive and the clubs with less money was massive and only money would change it.