Earlier quoted context omitted.
They can call themselves a hotdog stand, that doesn’t mean the courts agree.
How are they a taxi company? Certainly not thought of that way by your average person. Its taxis vs ride sharing.
I regularly see people say they’ll call a cab and then use Uber/Lyft.
Ride sharing generally means carpooling/picking up hitchhikers etc. Where the driver is going on the route anyway and is adding passengers for HOV access, gas money, or just conversation. https://rideshare.org/
Uber’s initial intention was carpooling where someone would put in their intended destination and could pick people up for money. However the business model clearly switched to a taxi model with a paid driver not staying at the destination. They still wanted to call it ride sharing because what they where doing was often blatantly illegal
PS: Their initial subsidized prices convinced many people to advocate for an exception which was often granted. That’s the bit that’s rarely talked about, they essentially bribed the general public.