It's the usual thing though. I don't know many Englishmen that would class Jimmy as a great. But we always go back to statistics, and you can cut these things many ways.
Depends how you define great really. If you look at bowlers with over 400 wickets in test cricket - because Jimmy will end up there or thereabouts - you have a mixture of the genuinely great (Warne, McGrath, Walsh, Hadlee, Akram, Ambrose) the exceptionally good and long lived (Kumble, Dev, Pollock, Harhajan) and the ones who did it by chucking. Jimmy is definitely in the latter group just as the other current player likely to reach 400 -Steyn - is in the former. Averages actually make a pretty good dividing line - Pollock is the only bowler averaging under 25 that I wouldn't instinctively label an all time great - whereas the others merely exceptional average over 26. The same works further down - most would agree that Marshall, Khan and Trueman were world greats whereas Botham, Zaheer and Craig McDermott were "merely" exceptional.