I'm 100% against renaming jump & warp to agree. I actually prefer that they have different names. I would actually be in favor of adding a third style of FTL travel called Hyper Drive.
In a game with INFINITE galaxies, it seems to imply that there is more than one way in which space-time might be folded or bypassed to achieve FTL travel. That has been my interpretation of them from the start - jumping is entirely different from warping in the same way an impulse drive is different from thrusters, an ion drive is different from a chemical rocket, etc. Doesn't this give us MORE room to play, over boxing everything into terms we've seen on TV?
Rather than force the entire technology to agree with one TV show or another, can't we just allow that there might be multiple practical modes of FTL travel?
Even in your favorite sci-fi media, do all the space-faring races use the same technology for weapons, power and engines?