There are a few things about Moyes that used to really bug me and, from what I saw at West Ham, I'm really not sure if it has changed:
1) He was awful with substitutions (an Everton manager trait tbf), nearly always negative (the Weir sub), nearly always too late.
2) Would always play favoured lieutenants who were amongst the worst players in the team over others (Neville and Hibbert spring to mind).
3) We never pressed high enough or aggressively enough. We tended to press between our own box and the half way line - far too negative.
4) Linked to the above - my biggest bugbear of all. When he wanted to see out a game, he always had us stand off and drop deep in effectively two banks of 4 to defend our box. This used to drive me mad. The amount of late goals we would concede from shots from outside the box from this tactic. Go back and actually watch it - it's insane. Everybody from Lee Hendrie to Drogba seemed to smash a late one in against us.
5) He did not value pace at all. We had so few pacy players who would get into attacking positions during his 11 year tenure. I believe he only signed Bent, Johnson, Coleman and Mirallas with genuine pace, yet used to play on the counter. Obviously, this would be the easiest to fix through different recruitment methods.
6) He had no idea how to identify or use a striker. The only really good one he signed was Yakubu. He used to get all strikers running the channel, whether it was Bent or a lump like Beattie. Saha, was massively overrated and only had one good season. I've heard people say: "if only he'd have had Lukaku." He would have had him running the line all the time (which would work occasionally, as Martinez did against Arsenal) but he lacked the technical ability to do that. Yakubu, had a great touch, a little burst of pace and was a good passer, as well as a good finisher. I think over 11 years his use of strikers was utterly horrendous and it continued to be at West Ham - persevering with Antonio because he'll run the channels over getting better players in.
7) Bigging himself up at the expense of the club - knife to a gunfight, plucky little Everton etc. Drives me mad and has stuck around ever since.
For the record, Moyes had lots of good qualities too and is miles better than Dyche. But I used to hate these things about him and have seen no evidence that any of these aspects have changed. I'm not even that bothered about the Utd move and the Baines thing - which seems to be the one sticking point for people. I am really not looking forward to this stuff again - and I know some of our other managers have done plenty of these things too.