No, the parent is wrong.

Checking a token is the same as generating it.

The benefit however is in the next (third) token. After generating tokens 1 and 2 (in one turn), you start generating token 3 (and 4). You also get the “real” prediction for token 2. If the “real” prediction matches the MTP (Multi-Token Prediction) from previous turn, you have just generated 3 correct tokens (and another speculative). If not, you’ve now corrected token 2, but token 3 is wrong (it follows the wrong token 2) so you need ti generate it again.