Decent samples across all countries don't exist. Sachin played 200. Toured more evenly than pretty much anyone else. Played in an era with less teams than now. Still only played 4 in Zim. Succceding in limited samples is the best you can hope for. Only Marshall did this better. Bigger samples across more countries would be better. But being better in small samples is much better than being meh in larger ones.Yes we can. We do it for Lillee and Ambrose to an extent. And Hadlee wasn't succeeding everywhere, that's the point, he didn't play enough for us to know.
You are not going into the actual context.
WI is not extremely good, it is below par and Hadlee himself was actually disappointed after that series. Again it's just one series but it was the ultimate challenge for Hadlee so should be given more importance.
Ind/Pak is three series, one which was good, the others early career.
SL is a minnow.
It's a pretty imbalanced record with him reaping it in pace friendly countries and not being sufficiently tested outside.
Marshall, McGrath, Steyn, Imran were all way more tested across different countries in multiple series.
Viv played in WI, Aus, Eng, Ind and Pak with multiple series in all of these countries. Far better tested too.
Hadlee's performances in the WI, considering the pitches and opposition, were still very good. He have been disappointed with very good because the series was in the middle of a decade where pretty much every series was stellar.
I think you can make a a pretty decent case for a couple of other bowlers being better away using more reasonable ways of assessing. But not on this country by country basis that you are constantly going to.
In their limited outings in the SC:
Lillee failed.
Ambrose demonstrated an ability to get cheap wickets, but not the ability to pick up loads. Hadlee got lots of cheap wickets.
Three different cases. I don't think we can say Lillee and Ambrose proved any shortcomings given the number of games, but Hadlee definitely proved himself a success.