The Kessler Syndrome is overused by hack reporters trying to instill fear to their readership. Space is vast and the likelihood of collisions are infinitesimal.
Space yes, but Orbital space... definitely not. There have already been several near collisions involving Starlink satellites and other valuable assets in low orbit. And space junk from failed satellite placement and launches are getting to be an unpredictable risk.
The total number of satellites launched since the 50s is only about 9000, but Musk has already got 1300 up and adding 120 more per month. Their failure rate was around 5% but is improving, rivals claim that the failure rate should be less than .1% to ensure future safety.
Correct. Starlink satellites have collision avoidance based on satellite orbital data and deorbit at the end of service. Even with that, you’re correct, space is vast and orbital shells have plenty of room. The number of Starlink satellites is if I recall correctly more than all other active satellites combined.