I've always thought of that kind of biting as a "love bite".
Mr Underfoot used to bite me on the nose like that, ouch!
I read a technique somewhere for stopping it - when he bit me too hard, I would grasp him gently on his scruff (the loose skin at the back of his neck - but only if he was on a solid surface - don't hold him up by it as it hurts any cat beyond the very tiny kitten stage), and put my other hand over his face and hold it there for a moment to redirect him and give him a chance to calm down.
The book said it's similar to what a mother cat does when a kitten becomes too rowdy, as a way to calm him down.
If he was in my arms when he chomped my nose, I'd just hold my hand over his face for a moment, and not hold his scruff. It took a few times, but it eventually worked to get him to stop chomping my nose, and he's still affectionate and loving.