Cougar- re: NEXT - It's not from the AIP
Try Jeppesen WWT ATC pg. 451
Item 6 in a position Report
----Ensuing Significant Position-
"(position)/
NEXT"---
That's where you'll find it.
But of course, if you wished to use the AUS AIP then
"FOLLOWING POINT - (position)" would also be correct.
In QF, as do most international carriers, we use the Jepp manuals, so perhaps you might now like to tell your co-pilot that it is you, whom is wrong.