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Do you believe in Aliens?
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I'm dubious of faster than life travel being for reasons beyond our understanding of physics. If there were a reasonable way to do so 1 race anywhere in the galaxy could have colonized the entire galaxy or at least a substantial portion thereof in only a few million years. If it is possible it seems to suggest that life is so rare that there are very few forms of higher intelligent life in the galaxy at any given time and probably relatively few ever.
If faster than light travel existed, then a species would possibly be able to colonize anything in less than an instant because they'd be traveling backwards in time.
However, it might be possible to change locations faster than light by cutting through spacetime using a wormhole.
Yet, in support of your argument, I think I also remember that perhaps there are ways to warp spacetime around a ship so that locally, the ship is not traveling faster than light, but the warping of spacetime is. I don't understand this concept well enough to have a confident opinion on it tho. For example, is it possible to warp spacetime faster than light without violating general relativity?