Agree, the Pulis/Allardyce "safe pair of hands to avoid relegation and introduce stability" role might not match Moyes's ego but, other than a DoF position, likely the one he's best suited for.Moyes didn't fancy the total car crash that is Villa and I don't blame him, as there'll be massive expectation to return to the PL at the first time of asking, that if he failed to deliver would have smashed his reputation to pieces.
Sure he fancies the Everton job, why wouldn't he? It doesn't mean he's got any realistic chance of getting it.
He'll sit the summer out no doubt being a pundit at the Euro's and he'll await the first round of PL sackings next autumn imo.