Liability is a separate matter from autonomy. I assume you'd consider yourself autonomous, yet it's your employer's insurance that will be liable if you have an accident while driving a company vehicle.
If the company required a representative to sit in the car with you and participate in the driving (e.g. by monitoring and taking over before an accident), then there's a case to be made that you're not fully autonomous.
> it's your employer's insurance that will be liable if you have an accident while driving a company vehicle
I think you're mixing some concepts.
There's car insurance paid by the owner of the car, for the car. There's workplace accident insurance, paid by the employer for the employee. The liability isn't assigned by default, but by determining who's responsible.
The driver is always legally responsible for accidents caused by their negligence. If you play with your phone behind the wheel and kill someone, even while working and driving a company car, the company's insurance might pay for the damage but you go to prison. The company will recover the money from you. Their work accident insurance will pay nothing.
The test you can run in your head: will you get arrested if you fall asleep at the wheel and crash? If yes, then it's not autonomous or self driving. It just has driver assistance. It's not that the car can't drive itself at all, just that it doesn't meet the bar for the entire legal concept of "driver/driving".
"Almost" self driving is like jumping over a canyon and almost making it to the other side. Good effort, bad outcome.