Does anything happen to my pet's TC if I send them into the rift? I was thinking of throwing Nekoyama in there tonight so I could get the achievement, but I don't want to jeopardize her TC, which is the Blob Kitty collection I've spent years amassing. :x

Nope, it all stays put. My pet, Ioan, came back with his treasure. Adopted date isn't changed either.

Oh thank goodness :D Now I can yeet without worry~