This is nonsense.
That's pretty much it. Let's say you were to somehow travel unaccelerated, along with the peak of a lightwave. From source to destination no time will have elapsed. No distance will have been covered.
Since you are interested in this sort of thing, you might want to consider what two observers would have to say about spacetime from the perspective of two different wave crests. Do they perceive that they are cojacent to each other, a finite distance away, over the horizon?
As I understand it, P.A.M. Dirac had something to say about this sort of inertial frame.
If you follow this language, start with a Lorentz bost in the x direction. Take the eigenvalue of the matrix. This will result in a change of coordinates to (x+ct, x-ct, y, z). In this coordinate basis a Lorentz boost is a contraction along one dimension and a dialation along the other. It seems to be the coordinate system useful in examining the conditions where v-->c.