Aren't all cats? Including the live, warm ones?
I don't know what kind of cats you have been exposed to, but mine are velcro cats. As I type this, my little rescue kitty Zizu is fast asleep laying across the top of my computer keyboard. She and my Maine Coon Bijou have been taking turns doing this for days. The "loser", who doesn't get to lay atop the keyboard and drive me crazy, then consoles herself by laying on the little table adjacent to my desk. If I want to watch a video, that means Bijou laying on my lap during the movie and Zizu either trying to cause trouble by biting Bijou's toes in an effort to get her to play with her, or watching the screen as well. Every single thing I do must be "supervised" by my cats.
NO! My cats are fur babies. They love to cuddle and sleep on my lap. I have never told them they are cats. They think they will grow up to be human moms like me. They follow me and study everything I do, they think they need to learn all this. Yesterday we put a metal birdbath together, and Jezabelle watched us the whole time.