Gamzee might not be able to snatch the bodies if they throw him off the meteor or something. At this point he doesn't have them because in the [S] Flip flash, the bodies are still in the giant tanks.

Well if they throw him off the meteor then he wouldn’t be able to go in the future and set up the housing for the cali baby and if he didn’t do that then Lord English wouldn’t exist and everyone wouldn’t be in their current situation. So Gamzee is definitely given freedom so he could very well collect the corpses.  That is unless they throw the corpses off the meteor. But how likely is that?