I don't trust a taxi driver to safely take me to the destination. But taxi drivers don't claim that their cars are self driving. So what's your point? The fact that some other human is driving the car doesn't mean that the car can be called self driving.
You can assume that the taxi driver will be able to react to most possible events on your ride home. Right now self driving systems require active oversight and you can't sleep while you use them.
It's like comparing an experienced driver (taxi or not) and a student driver. I'd sleep with an experienced driver driving but I wouldn't even think about sleeping if I am being driven by a student driver.
According to Oxford dictionary, self driving implies:
> capable of travelling without input from a human operator, by means of computer systems working in conjunction with on-board sensors.
A taxi clearly does not match this definition, since it has a human operator.
I assume we are not just making up words ourselves, because that would be meaningless. What definition are you referring to that would match your usage?