How Does a Pool Operator Ensure That a Rejected Share Is Genuinely Invalid and Not Due to a Server Error?
The pool operator ensures the rejection is genuine by having a robust and highly-tested share validation mechanism on the Stratum server. The server performs a full cryptographic check on the submitted proof-of-work against the current block template and the pool's difficulty target.
If the share fails this check, it is rejected. Error logs and automated monitoring systems track server performance to rule out software bugs as the cause.