Google Maps has had this for 6y: https://www.uber.com/newsroom/googlemaps/

In the mobile app it used to be a tab at the top ("rideshare services") but now it's at the bottom of the public transit tab ("also consider").

It used to be a deep integration where you could handle your whole ride without leaving Google Maps, but I think they removed that a few years ago?

Yes, but I think amelius is suggesting that Google could put a button in Google Maps that called a Waymo (and just a Waymo). That's what could run afoul of antitrust laws.

Google Maps already links to Waymo in the ridehail tab (but only in Phoenix): https://twitter.com/Waymo/status/1400484190064422916?s=20

And why would this not wake them up?

Because Uber won't make a noise.