Deadpool & Wolverine trailer is out, and yes, the fighting does not play by the rules. From the synopsis:
Wolverine is recovering from his injuries when he crosses paths with the loudmouth, Deadpool. They team up to defeat a common enemy.
Source: https://uproxx.com/movies/the-first-deadpool-wolverine-trailer-fight-shows-claws-going-straight-in-the-merc-with-the-mouths/