Also, you notice how Tessio is used kind of second hand. He has to get the package at the gate; he drives Mike and picks him up; he's sent to pick up the cake; his regime is assigned hospital duty. There are probably a few more instances. It's surprising considering that he was with Vito right from the beginning just like Clemenza.
I can see an alternate to the scene at the end of GF when Cicci asks Tom if he can get him off the hook for old times' sake:
"It ain't the way I wanted it, Tom. 'Sent Tessio to do this...send Tessio to do that...send Tessio to drive some car, pick up a dead fish, buy a birthday cake...' "
