Understood, but honestly to me your arguments would more suggest that neither are rather than both should be.
If all of your success is predicated on helpful pitches and familiar conditions then that is a slight against you.
One of my main issues with peer and media reviews are that it sometimes is heavily influenced by who are the political, media and sprouting heavy weights of the time.
Part of Lillee's lore could be because he was possibly the first fiery fast bowler in a while and best since Trueman, part of it could have been he was a exuberant Aussie (which I believe is
@Coronis beef with his rating) More bravado (mustache)than substance and as someone pointed out, his career heavily overlapped with Hadlee's who was objectively better in everyway.
But to be fair, and as
@subshakerz has pointed out, his overseas record is somewhat incomplete rather than a complete failure and that can be a factor as well. That and how he over ame his devastating back injury which did occur at his peak.
But your points are well taken, and really Lillee is a controversial and difficult player to rate, because similarly to Wasim, his perception and rating seems to exceed his numbers and the reality.