I get how people can get really close to their pets and consider themselves their pet's parents but I've never felt that way. I think part of the reason was that mot of my pets I had growing up, only really listened to my mom. So mentally I probably figured that if any human was our pets' parent it was my mom. Even my cat Midnight, who I got as for a Christmas present and loved me, had a preference for my mom. She even brought him to work so he wouldn't be lonely at home while I was at school and she was at work. Most of my pets I've had as I've gotten older were children of other pets. Tony and Drew were the sons of 'my' cat Dorlea,a cat from my grandparent's house that I got to name as a child. So I naturally have some distance from being my pet's parent even though I love them.