Anyway, here's the spinners Ponting has faced in the subcontinent, and at Sydney, and how he went. Obviously not all of them are turning wickets, but they mostly are.
India 1996 (Kumble, Joshi, Kapoor)
14 & 13
Sydney vs South Africa 1998 (Symcox, Adams)
62 & DNB
India 1998 (Kumble, Chauhan, Venkatapathy Raju)
18 & 2
60 & 9
16 & DNB
Pakistan 1998 (Mushtaq Ahmed)
76* & 43 (very flat pitch)
Sri Lanka 1999 (Murali, Chandana, Herath)
96 & 51
1 & DNB
105* & DNB
Sydney vs India 2000 (Kumble)
141* (not a turner)
India 2001 (Harbhajan, Kumble)
0 & DNB
6 & 0
0 & 11
Sydney vs South Africa 2002 (Henderson, Boje)
14 (run out)
Pakistan in Bangladesh and UAE 2002 (Saqlain, Kaneria)
141 & 7
44 & DNB
150 & DNB
(turners - Warne took over 20 wickets at about 14 in this series)
Sydney vs England 2003 (Dawson)
7 & 11 (not a turner)
Sydney vs Zimbabwe 2003 (Price, Ewing)
169 & 53* (turned a bit, but rubbish bowlers)
Sydney vs India 2004 (Kumble)
25 & 47 (not a big turner)
Sri Lanka 2004 (Murali, Chandana, Herath)
21 & 28
10 & 27
92 & 20
India 2004 (Kumble, Harbhajan, Kartik)
11 & 12 (ferocious turner)
Sydney vs Pakistan 2005 (Kaneria, Afridi)
207 & 4*
I'm excluding games where no full-time spinner played on one of these wickets, eg against the West Indies at Sydney where only Hooper and Adams bowled spin.
Anyway, you'll notice a pattern that his results are pretty good, aside from that one series in India. He's done will in Sri Lanka, well against Pakistan in the subcontinent, and well at Sydney, and well against all spinners on non-turning wickets, and well against spinners when he has faced them on turners elsewhere in the world too. The only place he has failed has been India.