Yeah but the fly in that ointment is that Kumble has the best record of a visiting spinner in Australia, well, ever. He found a way to bowl relatively well in Australia and it wasn't through big spinning balls out of the rough. Suffocating accuracy, using the bounce, subtle variation, patience. Warne had big turn, yes, but he also had pin-point accuracy and had the patience to work on a bloke for hours if he needed to. It's why he struggled in India I reckon; early career he really only had the big turning leg-break and the flipper, bowled pretty one-dimensionally to good players of spin. All he had to fall back on when they didn't work was accuracy and against guys like Azhar, etc. you need a bit more than that.
Saw most of Murali's bowling here and it wasn't the lack of spin or bounce that stopped him from doing as well as elsewhere, just don't think he was patient enough. Was a bit too quick to resort to the attempted knock-out ball/fancy trick. He came here under massive, massive pressure as a visiting GOAT (not to mention he still got heaps from the bloody crowd) with fairly weak support so it's not surprising if he felt it a bit more and tried a bit too hard to rip the Aussie top-order to bits. That's on top of it being notoriously hard to bowl finger spin here.
Similar to Tim May; bloke ripped it miles but resorted to the knock-out punch a bit too quickly so never bowled really well, one or two spells aside. Harbhajan, I think, found a good balance of attack and patience last time and I reckon he'll do well next time he comes to Aus for that reason.
See, like I said, being able to turn the ball miles isn't enough. If Swan reckons he can roll up here, put big revs on the ball and clean up, his day will be ruined really quickly.