The story of X-Men Vol 2 #4-7 is only about badass Wolverine fighting badass Omega Red with the other X-Men around as sidekicks & spectators.
Back then, everybody bought the book because Jim Lee was the most popular penciller of Marvel Comics.
John Byrne is a good writer but, curiously enough, I didn't recognize his style. I am not certain that he contributed a lot to the story.
You didn't like Larry Hama on the book? He's the only Wolverine writer (aside from Claremont) I was thinking I might be interested in reading more from.