What's your source for the claim that Tesla's system "doesn't detect stationary objects"? From the reference frame of a moving Tesla, both globally stationary and globally moving objects will appear to be in motion.
Imagine an image smeared out like on a 15 year old Nokia picture phone, but with very high colour(velocity) precision. That is what a radar sees.
You can argue something between those two options, but ultimately it is just a semantic argument (e.g. "it just chose to ignore it" which is effectively the same as a non-detection, since the response is identical).
https://www.wired.com/story/tesla-autopilot-why-crash-radar/