Doesn't sound logical to me. The whole context of the scene is about Spock trying to motivate the good doctor to join him in his investigation while McCoy wants Spock to join him drinking or getting drunk.
Correcting Dr. McCoy will not serve Spock's goal but rather the opposite.
Spock is McCoy's superior officer. Spock doesn't need to motivate McCoy to do anything, he can order him to if he wants. And it would be much more in Spock's character to correct McCoy's mistake no matter what...but he doesn't.