Nothing is going to happen to them. Effectively, it's a case of "too big to fail". Removing them from the PL would be too hurtful to the league's valuation, so there's no way the FA would shoot themselves in the foot.
You simply cannot use Everton as a precedent. If you remove Everton, there's literally 10 teams like them (similar valuation, fanbase, stadium, etc.) ready to take their place.
Everton simply do not matter, despite what their fans would like to believe... But City unfortunately do matter.
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