I think Evertonians delude themselves about 2 things regarding the Moyes era.
Firstly that we were entitled to just win trophies or finish in the top 4, regardless of our current squad at the time or the circumstances of recent previous seasons. For example, Moyes took over early 00s after we'd spent most of the 90s battling Relegation. He then turned us in to a side capable of finishing from 4th to 7th. He did an excellent job by doing so clearly, and I don't see how that can be argued.
Secondly, that our team could just turn up against superior sides and be expected to win crucial games. The Cup Final, we didn't bottle, we were just comfortably beaten by a far better Chelsea side which contained the likes of Terry, Cole, Lampard and Drogba. And whilst we had a chance to beat the RS in the 2012 Semi and it was a missed opportunity, their side still contained Gerrard and Suarez, most notably, which were on a different level to any player we had in our 11.