I got this idea because Ryan Reynolds admitted on Twitter recently that he and Leary are friends: https://twitter.com/VancityReynolds/status/1587134315154096130
And I also read that Deadpool's more comedic persona was actually based on Leary: https://www.vulture.com/2018/05/deadpool-secret-history.html
So I don't know how comic accurate this would be in regards to his father's personality but it would kind of be perfect casting under those circumstances. I could even see Wade making some cracks about him being in The Amazing Spider Man movies:
Deadpool: Hey Dad, can't you go back to haunting Andrew Garfield? Oh wait wrong Marvelverse!