Personally, I think it was further back than he claims.
A recent show on TV indicated that a date of 20,000 years ago, using genetic factors was not unreasonable.
Lingusitics experts come up with figures older than that.
WE know that modern man reached Australia at least 40,000 years ago (Mungo Man).
See my post #4.
Oppenheimer suspects humans got to Australia before the Toba explosion 74,000 years ago. His 'map' does not include this suspicion.