No, he is making a comparison: if they can be friendly in early TOS, they can be friends in STID, especially after the terrible events of the last movie.
Just one more point regarding Kirk and Spock being friends in TOS. In the first episode aired, The Man Trap
, we're told they're close before we ever see them on screen together...
The Man Trap wrote:
UHURA: You explain. That means that somebody is dead and you just sit there. It could be Captain Kirk. He's the closest thing you have to a friend.
So I'm not sure why it's important that we see that golden moment they become friends in these movies.