At least in my area, Waymos are always more expensive than Ubers.
Right now, Tuesday 3pm, Waymo will cost me 13.76 cross town. UberX 10.95, Lyft 11.95. If I don't tip Lyft/Uber they'll be cheaper but I definitely don't tip the Waymo.
This does match my earlier observations, where the prices were pretty damn close.