Class is pretty subjective IMO. When Sarri smokes, it's disgusting. When Lippi or Carlo smoke, it's romantic. If Sarri wins the CL with a cigarette in his mouth, you can guarantee his smoking will no longer be disgusting.
Even if I think Allegri is classy. He had moments where he ripped off his coat. Yelled at players. Argued with journos on TV. Is Conte classier than Sarri? Screaming on the sidelines all the time. Celebrating like a child for 5-0 goals. Suspended for match fixing! Quit on the club afterwards lol.
If you think his football will win us fuck all then who am I to argue that opinion. No one knows the answer to that right now. You may very well be right.