It really depends what their ambitions are for Everton. If they want to see us as a 'stable' club where they provide marginal investment into the first team they they'll stick with Moyes and it's highly likely we'll be a mid-table side in the coming years.
If they want us to challenge the top six, compete in cup competitions and get into Europe, it means they'll put in serious money for it. I doubt Moyes at 65 in a few years is the person for that.
But seeing as players are generally handed five-year contracts and it's difficult to offload failed signings, does it really make sense to give Moyes, two years on his contract, the keys to the castle when the top four is genuinely within touching distance if we just make 4-5 smart signings?
I'm not so sure it does, but obviously the right manager would need to be available to push us on, and no idea who that would be.