I know how that feels. The 2 only cats that i have contact atm, are from a friend. I have known those cats since they were born, for 16 years now. They don’t cuddle, not even with their owner.
They come to greet you, walk in front of every step for a few minutes. Some quick touches are allowed, but no cuddling. Sometimes they sit by my side for hours, but when i try cuddling, they relocate quickly.
They are like a touch repelling entity, one that you try to get hold on, but it automatically tries to evade you the whole time. One of them (Gonzo) even uses the noodlebones tactic, he almost becomes liquid, while getting away from any kind of holding.
It was so frustrating when i got to know them, but i quickly realized that’s just the way they are, no cuddles.
When they see you leaving, they repeat the greeting ritual and stand by the stairs watching until you are out of sight.