MAJOR Spoilers
Hello there, I'm just a fan of the VN, but I hope you won't mind some input I put in for your critiques. So, with the identity crisis thing, Tate did not like his name (Mostly his last) due to him thinking the last name Foster is his parent's way of saying "Hey look your adopted. ". Cody (Or MC) tells Tate near the end that maybe he is thinking too much into it and that Foster also means woodsman and that he loves his cheerful woodscat, which in turn makes Tate realize that the name his lover is saying to him is a great name, and he should not change it, makes him think it over and he agrees with the name. (It is a lot better explained in the VN) On the slave thing Cody with is good heart is thinking about the humane things and all, Tate on other hand is thinking about the logical side as he states its savage and will just kill people if it was out in the wild. It is also shown, why yes, it is treated like a slave, it is also a lot better off with the wildfurs then in the wild trying to survive looking for food and water while also trying not to get killed by other Savagefurs and hunters alike. The lizard himself did not want to leave even after Cody offered to get it out of there. (This is all said and done in the path you take if you ignore to go scavenging and stay in the camp).