Time dilation is just the fancy name for time travel.

No, it isn't.

Time dilation refers specifically to the non-linearity of what we perceive as the passage of time as velocities approach the speed of light, as defined by the Lorentz-Fitgerald contraction equations of the early 1900s.

It has no more to do with traveling through time than would Rip Van Winkel waking up after a 20 year nap.

tanstaafl.