It all comes down to how the game goes. If you're losing by 4-5+ runs you don't use him and you keep him to play game 5 at home on an extra day's rest.
If the game is tight especially with a small lead and you've used up your trusted relievers than absolutely you should throw him out there.
Edit: if you're winning by several runs I still use him because it would be so nice to close it out and not have to go to some of the relievers who got beat up yesterday