Batter Granted Time after F1 in Set position

[JPaco54]

Can someone clarify this for me please? I had a partner, call time at the request of the batter after the pitcher became SET. He stated the pitcher paused longer than normal so therefore he granted the time out. Per Rule 6.02 noted below, I did not think you could grant a Time Out. Correct?

Is there a time limit for the pitcher after he becomes Set? I know he has 12 seconds to deliver the pitch after receiving the ball.

Rule 6.02(B) Umpires will not call “Time” at the request of the batter or any member of his team once the pitcher has started his windup or has come to a SET position even though the batter claims “dust in his eyes,” “steamed glasses,” “didn’t get the sign” or for any other cause.

Thanks in advance!