An oversight? Maybe, but I doubt it's because he didn't have his paths at the time. The prerelease video showed him wearing his base job outfit during the first loop and ends at the beginning of the second loop, which is where his in-game story begins. As the backstories of all his 1st Jobs so far mention the fact that he's time looping in one way or another, they all occur partway into the second loop at the earliest.
Well, since Liberator's video is more recent and shows him with his current class' outfit when he wakes up (and even shows a sealed version of Second Revenger's sickle), I think it's more likely that his body is canonically being overwritten when he time loops. But at the same time, I kind of want to wait for his 4th Path's release to see if it offers any definitive proof of this being the case.
Edit: Okay, right after posting this, I remembered that the Nyx Pieta path had Clamor dying at the end of the second loop and not coming back in the third loop, and since Clamor also experiences the time loops due to resonating with Noah's power, this probably could be evidence that the time loops do have some kind of physical effect on the people experiencing them.