What could happen from this is that, without Peter, Barry would have to help voldemort full time and wouldn't be able to impersonate moody.There's Barty Crouch Jr. still. Plus it's not like Voldemort needed Harry for resurrection, he needed the blood of his enemy. Harry was chosen purely because Voldemort wanted to use him to bypass his mother's defense.
Which would prevent him from putting Harry's name into the goblet.
Unless he tells Snape to do it because of double agent things