I wonder if either team thought of this (and/or decided it was too risky and/or checked with race control and got an explicit ‘no’):

After the formation-but-not-formation lap returning to the pits as everyone else took to the grid, then driving through and completing another lap while the grid was forming up.

IIRC during that lap the graphic said safety car, so I don’t see why you couldn’t drive through the pits and continue on as you could under a normal safety car.