The Onion

Not exactly.

Deadpool doesn't have the claws, or the heightened senses, and he seems to “heal” somewhat faster (though that's probably due to Wolverine's heavy metal poisoning due to the adamantium skeleton; he heals faster if he doesn't have it, but also becomes more animalistic).

Also, Wolverine's healing factor would probably be able to deal with the cancer (he's been alive for over two hundred years without developing a single tumour), while Deadpool's barely manages to keep the cancer from killing him, because it also sort of makes it super cancer; he exists in a constant balancing act between the cancer and a runaway healing factor killing him. If he were to be cured of the cancer without also removing the healing factor, it wouldn't be pretty:

And, of course, as much trauma as he has, Wolverine isn't insane enough to break the fourth wall.