I agree with that as well.
I would say though, that one thing the refs do a lot in the NFL (ok, I'm aware it's more stop - start than football) is they do go and look at the screens a lot more on the sidelines. How many times do you see refs do that in the Prem, despite it being available to them?
I just don't get why a decision will be flagged and then then ref himself, 99% of the time, will just stand there waiting for the decision. Go over to the TV screen and at least look at it yourself, then do what you have suggested, which is talk more. But they barely do it.
And, watch it back in real-time, not slow-mo. Actions can always look dubious slowed down to virtual freeze frame, they need to be viewed in context.