Mine are a bit flightly but not standoffish. They eat out of my hand. Compared to my OEGBs they aren't cuddly. I have one hen who still scream like I'm tearing her head off with my bare hands every time I catch her. She gets all the other birds doing that alarm cry when she does it.
The crosses aren't as flightly but they have definitely inherited that scrappy OEGB gene which the Fayoumis don't have.
I think that's what I really like about the Fayoumis. They don't like to fight, at least Tut doesn't. He's funny. If a bigger tougher rooster challenges him his attitude is, okay, dude, they're yours! And he retreats. The other roosters will fight until they beat the opponent down or injure him so he retreats. But they won't stop till they win or lose.