I'm not saying it can't happen. Just think it shouldn't. You think they'd be clashing all the time, why would Jason agree to be on a team under Dick's leadership if he disagrees with everything he stands for and every way he deals with a problem. Why is Nightwing letting him be on the Titans if Red Hood keeps doing stuff he disagrees with and is unwilling to change. It's different with Damian or Ravager or Jason in the tv series, there they are younger people that Dick is taking under his wing, to teach and help them. As equal adult heros, I don't think that works.
Now on a Gotham Knights, Batman Eternal or Batman Inc. book it's a different story. Jason is an adult but Bruce was his fatherfigure, he gave him a home in Wayne Manor, is responsible for his induction into crimefighting and what happened to him and Jason generally grew up in Gotham to begin with. Batman might not like his methods but that doesn't mean he gets to take Jason home and family away from him. This puts Red Hood in proximity with Batman and Nightwing who disagree with his means of fighting bad guys. That all makes sense. Thus they clash. Titans is different, it's Nightwing's team, why would he want Red Hood on it. There's no leadership above Nightwing in the Titans that gets to tell him he has to do this, like Professor X for Cyclops or Dick himself for Tim/Cassie in Damian/Rose's case. Red Hood can only be on a Titans team with Nightwing, by Nightwing's grace, so their disagreements can't be that significant.