I am definitely getting this issue. I just signed up for Stadia, and Grid looked like the kind of game I wanted to play.
My first thought when it happened was that it was so realistic that a steering rod broke in a crash and I was unable to turn one way. So I just drove the car without being able to turn one way. I did this in all three of the initial races. In my fourth race it started before I even got into a crash.
I decided it was not a fun game and left.
I thought it might be a hardware issue with my laptop (Windows 10, HP) and tried again. Still happened. Found this page after my wife suggested searching online. Changing the input keys works, though having to do it a few times a race is going to wear thin quickly. :(