Trying to look this up mostly gives me a couple of only semi-related, and mostly dated threads, so here's hoping someone would be kind enough to give me a clear-cut answer.

When it comes to "getting rid" of pets (from the game, not just my account), I have two options: reserve to preserve them in the game, but remove them from my ownership, and the state branch to send them to, and receive those energy cards, if I'm not mistaken.

How complete is the deletion in the state branch?
Would the pet's profile still be viewable? Would it still show up in the list of pets I bred, or on its parents' offspring list?

To answer your question follow this link, it's the children list of one of my cockatrices: http://beastkeeper.com/children/511965

That answers my question perfectly, thank you very much!