His HF is indeed derived from Logan's. It's just that I believe it was made stronger due to bonding with the Cancer and turning the Cancer itself into his healing factor(which is why he still has it) and there was<em>so much</em>of it, that the HF just got insanely powerful when he's written correctly(like taking Logan's claws completely through his skull and finishing his conversation)<br/><br/>Thanos cursed him with immortality because Lady Death said she and Wade could be together...when he died.