What the primary record establishes

EIP-2537 adds built-in operations for BLS12-381, including a pairing check. It evaluates a mathematical relation among the supplied points. Applications can use the primitive in a signature or proof verification process. Ethereum EIP-2537 ↗

What the distinction changes

In a contract that releases funds on several approvals, a valid equation alone leaves open which keys are authorized and what message they signed. Bind the message to the intended operation and network, and verify the signer set.

What to check before drawing a conclusion

The specification also distinguishes an input error, such as a point outside the required subgroup, from a valid encoding that fails the pairing equation. An integration test can cover both, plus a mathematically valid signature from an unauthorized key.