History not on Rexâs side in battle against Qantas and Virgin Weâre sorry, this service is currently unavailable. Please try again later. Dismiss January 21, 2021 â 9.24am January 21, 2021 â 9.24am Save Normal text size Advertisement Rex deputy chairman John Sharp was probably right this week when he said there had never been a better time to set up a new domestic carrier. That, however, doesnât guarantee success for the latest challenger to the traditional domestic aviation duopoly. Sharp, writing in The Australian Financial Review, took exception to Qantas boss Alan Joyceâs recent comment that it was unlikely that both Virgin Australia and Rex would both survive a post-pandemic three-cornered contest in the domestic market.