Uber probably has legal framework of operation, ability to quickly obtain permits for autonomous testing, local political connections, special ability to gather roads, traffic, mapping data and overall support with rapid deployment. For waymo to get into a new location/country, establish their presence, navigate the political and regulatory landscape etc will take very long and many difficult hurdles.
Waymo has papa Google, Google Maps already has location and traffic data in excess of Uber. They don't just randomly color traffic lines in Google maps.
I doubt it. Uber is a 1000x more toxic brand to regulators than Waymo is. And I don't think Uber's maps mean anything to Waymo, though would be curious if someone else has direct insight into why they would.