Warp in this case I believe is referring to bending space time or traversing something similar to a wormhole, it’s not talking about Star Trek and tachyons and FTL. Hence the discussion points of exotic matter that exudes negative mass, which is what is required to stabilize mathematical models of Einstein Rosen bridges.
Doesn't matter, if you make it from here to the moon in less than a second, no matter if it's using a warp bubble or something else, then there is a frame of reference where you arrive before you leave.
You'd need negative mass either way. Bending spacetime is the most plausible implementation of FTL travel a la Star Trek; doesn't matter a whole lot if you're using the negative matter to keep the wormhole open or create an Alcubierre drive-style spacetime wave on which to surf
