Does anyone notice anything about the order we pull embryos and how they do? Like, have we found any connections on if the 1st pull embryo does better than the 2nd pull embryo, even if not used the same year? Does this make any sense?

I don't think there's a noticed correlation, I've only noticed embryos (1st or 2nd) being used as a non top 3 match flopping :)

Agreed! I only see correlation either way breeding order. I've used second pulled embryos as top 3 matches just as successfully as first pulled.