Severely flattened primers are usually a sign that something isn't quite kosher, but it's hard to tell what if all you have to work with is the appearance. When you start to get cratering around the firing pin indent, it's time to rethink things, but first examine the gun to see if the pin is a tight fit in the hole from which it protrudes.
With insufficient pressure, you can have the primer back out and it will jam up the action in a revolver. With normal pressure, the case comes back immediately after the primer and reseats it, so to speak. With high pressure, the primer cup continues to be pushed back after the case is back, the primer is fully reseated, and the firing pin is still forward, so primer metal flows around the pin, leaving you the "funny looking primers" or cratering.