Ha, ha. I just adopted a chest cat on Thursday so I can sympathize. None of the other ones do that, but this one is a lover.
LOL! He is my Rocket, and he has chronic renal failure, but we've been nursing him along for nearly two
years now. His numbers are going up slowly, but they're not too far into the red yet. He's at least 17 years
old, so we're hoping old age gets him before the kidney failure. And you're right, he is a lovey boy.
If you look in the encyclopedia under "spoiled" you will find this picture:

My Rocket on the grooming table