IMO I think moving monsters make more sense than ones that sit still, unless you happen to catch them when they're eating or sleeping or something.
It is a thing that people sit around doing nothing, but I don't think it should be the default for most creature types. Undead and constructs are the exception to the rule, wandering is the default behaviour of monsters IMO.
It does suck for the group though, but I think approaching a dungeon like Diablo takes away more than otherwise.