Google-owned autonomous cab company Waymo has revealed it will stop allowing Uber users to book its robo-cabs, hours before the OG rideshare giant made a case for all autonomous vehicle fleet operators to use its platform instead of creating their own. This slow-motion fender bender played out across Wednesday, starting with Waymo Co-CEO Tekedra Mawakana telling Bloomberg that her company would end a partnership that saw it work exclusively with Uber in Austin and Atlanta. Mawakana said Waymo wasn’t happy about the fact that when users of Uber’s app requested a ride in one of its robo-cabs, they weren’t guaranteed to get one. News of that break-up came on the same day that Uber announced its quarterly results. As is common on such occasions, the company published remarks [PDF] its execs intend to make during an earnings call. CEO Dara Khosrowshahi used those remarks to promote the idea that Uber is the natural home for robotaxi fleet operators, because it already delivers around 30 percent higher trips per vehicle per day compared to apps run by autonomous cab companies. He said that higher utilization rate, plus use of shared charging and maintenance infrastructure, can deliver “higher fleet profitability even after paying Uber’s marketplace fee.” “As autonomous technology becomes more widely available, we believe this ability to commercialize vehicles profitably will become an increasingly important source of competitive advantage and value capture.” The two events are deliciously ironic, because Uber is arguing the scale of its platform makes it the ideal host for third-party players – just as Google does with its search, app store, and YouTube services. Left unsaid is that the two companies hold concerningly dominant positions in their respective markets…