The manual is very clear with its first sentence below:
In the old time, we had conventional cruise.
Then, we got conventional cruise with collision warnings. Those warnings were too annoying and too unreliable so people turned them off after paying good money for the feature.
We then got smart cruise that could speed up and slow down with the lead car in front but it could not brake for a full stop. Human still had to brake for full stop to avoid a frontal collision.
It then took a very long time from that point for the system to be able to brake to a full stop when a lead car would brake for a stop.
But to brake a full stop for an already stationary vehicle waiting for you in front has been a challenge for Tesla and all car manufacturers with radar technology as well.
It's a well known limitation of radar technology.
Thus, Google introduced LIDAR for that purpose.
Tesla insists radar technology is just as good as LIDAR.
Thus, it is where we are after all the hype of self-driving technology that could detect and avoid obstacles.