In the Wilson-Parker household (apartmenthold) it's not uncommon for Wade to go on sleep strike.
It usually starts with a bad dream, almost always from his past, even more commonly from his childhood. It's the kinda dream that when you wake up, you can still smell and taste the environment that you were in.
Wade will not sleep after that. He doesn't actually need sleep, similar to how he doesn't need food, or oxygen, or all the blood in his body. If avoiding Those Feelings again means withering away into a pile of mush and regenerating afterward, that's fine by him.
The record for the amount of time with no/minimal sleep is probably the time he went 6 days with a cumulative 7 and half hours of spotty naps in between. The thing about Deadpools sleep strikes, though, is this, when Wade doesn't sleep, neither does Peter.
Peter already doesn't sleep a healthy amount or even close to the bare minimum amount, and he easily rolls downhill with Wade. Unhealthy solidarity style.
Sometimes, when the strike starts, Wade loses his stubbornness and curls up in the corner of his ridiculously plush couch and gives in to rest. Other times, it's a pitiful battle, not unlike a toddler refusing vegetables. Day one is more of the sale Deadpool humorous deflection and manly pouting, but after the day 5 mark, he's hardly coherent.
He sits and stares at nothing, occasionally nodding off and mumbling responses to words that aren't spoken. Peter is there to sit and stare as well, stare at Wade, and hope beyond hope that he finally passes out or learns how to finally voice his thoughts and move on from the dreams. He never rushes him, though. He's all too familiar with the want to avoid the influx of images and thoughts that turn your stomach inside out.
As long as he can keep his boyfriend fed and watered and at least semi-comfortable, he feels useful.
Sometimes, it ends with Wade falling asleep on accident, usually while sitting against the wall - arms crossed. Sometimes, he'll literally collapse, his body deciding enough is enough, and it takes a good minute for his heart and lungs to shake loose again. And rarely, Peter will rest his head on Wade's shoulder for a minute or an hour and mumble
"Ready to try again, baby?"
And it's enough to drag them both back to bed.