OK I've had a look at Moyes last 5 seasons vs the seasons since, I've only had a quick look but the points tally against City, United, Spurs, Chelsea, Arsenal and Liverpool is as follows;
08/09 - 12 Points
09/10 - 15 Points
10/11 - 19 Points
11/12 - 10 Points
12/13 - 15 Points
13/14 - 14 Points
14/15 - 7 Points
15/16 - 8 Points
16/17 - 10 Points
17/18 - 4 Points
18/19 - 2 Points
Seems to be a drop off in the post Moyes era when we've been playing the super football we all wanted. I appreciate some of those teams have strengthened significantly in that period but so have we in the last couple of seasons, which incidentally is when we've gained fewest points. There's all sorts of variables you could chuck into the mix to discredit Moyes, but the simple fact is his record more than stands up against anyone we've had since.