Would general relativity still be an issue with a system like this?
I imagine a radio transmission by the starship at the beginning of the journey in the direction of the destination, let's say Alpha Centauri.
The message would take roughly 4 years, right?
Now the warp ship is capable of doing it in 2 weeks by deforming the spacetime itself.
Would that accelerate the travel time for the message itself, too, because the ship can never catch the message ever so the message must always get to the destination first?