I think Vince and Trips know what they're in for by giving the Warrior a live mic at the induction. If they weren't cool with it then they wouldn't have bothered putting him in. They know the fans will want to hear some insane speech and will feel ripped off if they don't get one from him. I'm not sure about Vince but I think Trips is cool enough and a big enough wrestling fan that he will probably be laughing if Warrior's speech gets too crazy.
Don't forget, Warrior is from "parts unknown" maybe that's how they all talk there.