Ii is not about accepting something.I don't know! Isn't it rather true, that at v=c the length of the whole universe appears contracted to 0. Locks like a singularity to me! So either you allow v=c which means that you accept, that the ship is everywhere at once (earth and alpha centauri) or you declare that v=c is not permissible.
Light always escapes at c regardless of the relative speed of the traveler. One way to look at it is that the traveler always travels at 0c relative to light.