No, you're giving them too much agency in this. They had no decision in it at all.

[He wishes he had his drawing pad or that his tablet was working for him to illustrate this with.]

So in the game there's this thing called ectobiology. My friend John got saddled with that job. Basically, this machine tries to transportalize someone from the past, but because that person is destined to go do other stuff, instead all you get is this goopy paradox slime. John hit the buttons, got the slime for our guardians, and the machines popped out the babies. Then it mixed the slime from our guardians in the pairs I listed, and that made us. All of us, our group and them, got sent back on the meteors to Earth at the time we first arrived there. Stable time loop.