It's not the so much better, it's that he's better, at least from mine and the perspectives of quite a few others. I'm not factoring in batting for my opening bowler, and certainly not when allied to the gentleman who will be batting at no. 11.
Imaginary tier? Like any of them aren't?
He was the primary reason as to why Australia is a candidate for the greatest team of all time. When he's missing, the team just isn't that. Period.
From a bowling perspective he compliments Marshall more, much more actually. He did have a knack for removing top order batsmen and the best from the opposition and along with Marshall, Ambrose and by some metrics Davidson, the best ever new ball bowlers at the top of the innings.
He also has experiences in flatter conditions and no one utilized bounce or paired it with metronomic accuracy like he did.
If he's very arguably the 2nd greatest bowler ever, where's the argument.
No one during the '80's even picked Hadlee over Lillee and he couldn't bat either. Martin Crowe played in the same team as Hadlee and he selected Lillee, Marshall and Wasim ahead of him in his first team.
Your primary skills is to bowl. And again, this is a team with the greatest batters of all time, surely you can focus on the bowling.