Unlikely.
First, Tesla needs to demonstrate that its system can avoid collisions reliably just the same way as Waymo can.
Second, in a handover/takeover from the machine driving to the human, L3 system needs to give advance notice to human such as in Audi A8 Traffic Jam Pilot, it would issue a handover/takeover warning to human in 10 seconds so the human can stop watching the videos or reading and start to take over.
The 10-second handover/takeover warning is possible because L3 is conditional automation. It only works in a specified condition. When it detects there's a condition that will no longer be met, it would turn the car back to a human.
For example, Audi A8 Traffic Jam Pilot only works up to 37.3 MPH. When it detects that the flow of traffic starts to pick up from stop-and-go to 5MPH, 10MPH and creeping toward 37.3 MPH, it can have enough time for 10 seconds to allow humans to take over.
I've used Tesla Autopilot/EAP/FSD since 2017 and the system can abruptly hand it back to the driver with no advance notice.
Currently, when the sun is low on the horizon such as driving to work or driving home, the system would be blinded and it would suddenly nonfunctional until there's no more glare to the cameras. It's repeatable. It happens day after day for the past 4 years.
So, how Tesla will accommodate a 10-second warning for a handover/takeover in L3?
Will it have a redundancy system of Radar and Lidar when the cameras are disabled by the glare of the sun so the system can still accommodate a 10-second warning for handover/takeover in L3?
Reliability, Redundancy, and Advance warning for handover/takeover are huge puzzles to be solved with Tesla's present configuration.
For Tesla FSD, 5 years have passed since it was first sold in 2016, I doubt that puzzle will be solved within the next 5 years.