A high charge of powder causes excessively flattened primers, loose primers and pierced primers but doesn't cause the primers to back out. I doubt excess headspace would cause them to back out either. If the headspace were that excessive, the firing pin probably wouldn't ignite the primer. By backed out, I mean the primer being well above the head of the case after firing & not flattened level with the case head.
A low powder charge will cause the primer to back out every time. Low powder charges also cause the case exterior to be sooty, the interior to be sooty and excessive powder debris on the interior of the barrel.