Interesting, I came across this thread googling the international airline program.
I booking flights on Qatar via my uk plat, originating from the CPH returning to uk. Price on Qatar is £2156 vs £2045 on platinum (£2152 on expedia)
Strangely though, pricing up a regular return ticket that "international airline program" banner doesnt appear on any of the flights, and the price is approximately the same as booking directly