Yeah, but that's the point of the transporter room scene. Spock makes a choice Spock Prime couldn't/didn't make and acts on it. That's how we know from that point forward, their paths diverge. And he's not trying to be more-Vulcan-than-Vulcan to compensate for his human half, but accepts that he is neither wholly one nor the other but both.

He can't do that until Sarek tells him that he loved his mother. That's the difference bewteeen the two scenes and how he handles his grief and emotions, and that's the progress Spock makes as a character.

It took Spock Prime dying that one time to come to that same point in his life.