I've just met a few cats in my life that were extremely antisocial despite being pets.
my kitty was like that. she liked being near you but not touching you, she liked being scratched but only for EXACTLY 17.23 seconds, and only EXACTLY on her sweet spot which moved every 5.2 seconds. If you scratch the wrong spot or for too long she'd somehow turn her body inside out and seriously gum your hand while holding in her version of a bear hug (she'd never break the skin, but she knew how to use pressure to inflict pain)
she was capable pf purring, but unless you risked your ear by bringing it inadvisably close to her you'd never hear it because for some reason she did not aspirate her purr so it was very very very very soft.
...... I miss her. :'(