McLaren and Red Bull were not the only teams that objected to the tweaking of the highly-controversial 'musical chairs' qualifying system for Bahrain.
It was reported on Wednesday that because those two teams rejected the FIA's proposal to tweak only the Q3 segment after the farcical debut in Melbourne, the sport is stuck with the same hated format for this weekend.
A senior insider said that McLaren, in particular, felt so strongly about wanting to revert to the full 2015 format that it was not prepared to accept the FIA "fudge" proposal.
Germany's Auto Motor und Sport now reports that Toro Rosso and Williams also opposed the only FIA alternative on offer, which was to stick with 'musical chairs' countdowns in Q1 and Q2 and revert to a 2015-style Q3.
FIA race director Charlie Whiting confirmed: "The strategy group, F1 Commission and the World Council approved the new format before the season.
"We are still ready to modify it, but not return to the old rules."
It means that when the time comes to set the grid for the Bahrain grand prix on Saturday, F1 fans will face a repeat of the farcical Melbourne situation.