Conservative Party
But he "didn't particularly enjoy it".
Matt Vickers said Robert Jenrick is the "stand out" choice to succeed Rishi Sunak.
The arch-Brexiteer said he was "thinking very strongly" about making a comeback.
All six have ruled out doing any sort of deal with the Reform UK leader.
Ministers say the awards are needed to bring an end to crippling strikes.
The former prime minister doubled down on her claim the ambush of her pro-Trump event was "not funny".
"It is not something that you can solve by leaping onto some magical ideological square," the shadow pensions secretary said.
The ex-PM could not leaf fast enough.
A majority did agree a backing from Liz Truss would give that candidate a worst chance of winning, though.
The former Scottish Tory boss praised his "pragmatism, optimism and confidence".