iirc, the DNA of the player that placed the death station will be on it. The players who use it are beyond my knowledge, but I remember using this not too long ago; taking DNA, destroying it to see if it was a death station, killing the DNA trace.
Can confirm that players that have used a DS leave their DNA on it. One of the few times I've gotten DNA off one it gave two samples. So I think it already has DNA for the person who places it and definitely for those who use it.
There is no DNA of players who place it. Only those who use it. Had it happen 2 minutes before I made the thread.