I understand the caution you are taking @moosedeer.
However, the odds of looting an eternal pet with epic affixes that are totally advantageous in PvP are sadly, very very low.
I believe it’s Griffin who shared the calculations regarding that issue(nope)
Edit: Thanks for the addition @Mr_Scooty. It wasn’t griffin who made the computations, but it was Midlumer and Mr Scooty also made one.