Flat primers CAN be an indication of pressure but isn't always.
Depends on what primer is being used, cup hardness, etc.
I have had primers get pierced that were nowhere near flat. Then there is my .300 Win Mag which flattens primers even with mild H1000 loads.
Were there extraction marks? A heavy bolt? Are the pockets loose at all? If there are no other signs besides flat primers I wouldn't worry.
If it is pressure problems, usually the next sign is a heavy bolt and/or primer strikes dimpled outward.......then the dreaded pierced or stuck case.