I watched the entire video.
There's no way Mark Tremonti, or any member of his band, had anything but respect for Paul in that video.
I have seen Paul play in person so many times, I've lost count. He regularly has the cajones to go toe to toe with the greatest players on the planet. He knows his own limitations and is content to watch and learn when he is out of his depth.
I've seen him jam with enthusiasm and skill with Tremonti, DeMeola, Leese, Grissom, Knowles, Santana, Highland, Buddy Guy, Winwood and more. NONE of these great players EVER even hinted at being embarrassed to play with Paul. They were all enthusiastic supporters who respect Paul as a person, a builder and even as a fellow player.
The OP needs to go to an Experience and meet the man himself. That will forever put the **** I read in the OP's post out to pasture for him.