No, in the limit where everyone has lidar they end up stepping on each other too. Being a totally passive sensor system is a major benefit for mass deployment, on top of the cost advantages.

Lidar is cool when you want to get a point cloud from a fixed location, or dealing with perfectly uniform surfaces (which cars don't because humans can't do this either), but beyond that there are better ways to do things.

“Good morning, LIDAR! You’re looking positively radiant today!”

“Why, thank you, Camera! You are doing a wonderful job of seeing everything in your FOV!”

“Ahh, you are very flattering, LIDAR! It’s an endearing quality in you, for sure!”

LIDAR: blushes