Actually, Simmons seems to forget about the Caspian, which definitely deserves to be labelled a new oil province, and the Kashagan field, discovered in 1999, and the 5th largest ever. Tengiz also qualifies on size, but I don't remember when it was discovered.

Offshore Angola arguably also qualifies as a new province.

Of course, these two exceptions do not invalidate his point, quite the opposite.

In the long run, we're all dead. John Maynard Keynes