Lancaster's 28 wins from 46 Tests in charge included triumphs over the All Blacks and Wallabies (two) and he was respected for his organisational skills and rebuilding of team culture.
Both are elements the QRU regards highly but he did delegate much of the on-field coaching to assistants.
With hands-on pair O'Connor and Stiles at the Reds for another two seasons and both well regarded by the players, a head coach to sit above them is one possible scenario.
When chairman Damien Frawley announced Richard Barker as the QRU's chief executive last week, he said he hoped a new coach could be settled in four-to-six weeks.
"A lot of work is being done under the radar sifting through availability and who is the right person," Frawley said.
Kiwis Robbie Deans (Wallabies), John Mitchell (Force) and Daryl Gibson (Waratahs) have brought an international flavour to coaching top Australian teams although Lancaster would become the first English head coach of an Australian Super Rugby side.