It would depend a lot on what specific primer you're using, and how it behaves in known-pressure loads. Some primers are thinner than others, some are harder, some are just plain flimsy. If you have a track record, say with CCI primers, and their #500s look a certain way with "hot" loads, you have something to compare to. Unless you have that sort of benchmark, you're just looking at a bit of brass that may or may not tell you anything.
Given experience with a specific primer, I would put a LOT of stock in connecting a really flattened primer with an extra-sharp recoil and really loud report to "maybe this load is over the line." THEN, I'd take a look at the fired cases, see how the primers looked when punched out, and how the primer pocket looked too. But a load that makes really flat primers would be a big red flag for me.