Oooh no no no, he’s not incompetent at all. He’s got a very similar vibe to Dash from Trigun (pls watch if you haven’t) where he’s extremely skilled while looking incompetent, and wins fall right into his lap.

I’m sure there’s a term for this type of character, but I implore you to rewatch Cowboy Bebop with new eyes. The point of the show is not to watch bounty hunters succeed at catching bad guys, and if you watch it for this you’re not going to enjoy it.