I don't think Corbin was trying to stop Asuka from getting the case. He was trying to grab his own case, and they were just getting in each others way.
I was a bit surprised that Shayna was taken out of the end game so easily though. I would have expected a bigger bump to take her out of the match than Nia just shoving her against the wall. But I agree you don't need every single person out there. That ring looked awefully small by WWE standards and the ringside area was pretty small too especially with all the ladders. It's easy to get too crowded up there.