Radar and Lidar also get a lot of noise from heavy rain or snow. Fog can be just as bad. Some conditions just aren’t safe to drive in, regardless of who’s driving. I don’t think either of them are trying to design a system for those conditions.
On a personal note, I have no interest in getting a ride in a self driving car. I do have an interest in an empty car that can drive itself. Drop myself off at the airport, valet parking downtown, easier to share one car per household, river shuttling, through hike shuttling - I would use it a lot. I understand the more profitable goal is taxi services, but I don’t want that. So in my narrow use case, I hope Tesla succeeds since that approach can be used on personal vehicles anywhere while Waymo is strictly city taxis, which I don’t use.