I don't think that's quite right.
The faster ship has time pass more slowly. So they all leave at the same time, traveling a light year, but one ship travels at 0.999999 C and the other at 0.5 C.
The faster ship doesn't notice hardly any travel time, so it almost entirely misses the one year to cover the light-year distance, where it stops and waits on the other ship. So when it arrives, it's clock indicates that perhaps a day has passed, even though a year has passed and the second ship is halfway there. A year after that, the second ship arrives. At that point, the second ship has experienced two-years subjective, but the first ship just experienced the one year they spent on the planet and the one day in transit. So their clocks are off by about a year.