I have used taxi extensively over the last 25 years, until uber became my preferred option for cleaner more comfortable ride, and cashless payment without the ability to have hidden charges added.
I used to have a regular local taxi driver, i used him for well 15 years for work/airport trips always called his mobile direct, he was the owner and a driver for 1 of the shifts each day. He told me most owners (in NSW at least), drive their own taxi and then have 1-2 casual drivers who rent their taxi for the time the owner isn't driving it. The owners tend to take the profitable morning shifts and relief/casual driver get the arvos and late night shifters.
The cost of the taxi plate is totally on the owner, they do claim this as an operating cost, same as insurance etc. If there is a cab charge provided credit card terminal then this is usually the owners as well. You find that most of the casual driver, pay a set amount to have the car for their shift then get to keep the fares above that amount, less cabcharge fees if they use the cab charge machine, but more and more casual drivers provide their own credit card facility on their phone, they only grudgingly use the fixed terminal in the taxi if there are reception issues etc.
As a general rule I dont have more than $20 in my wallet, its safer to pay electronically and also easier to do expense claims when the receipt is emailed to you like Uber does, My employer and many other prefer Uber for business as there isn't an inflated surcharge for credit card payments, expense report filed automatically and fixed price means the driver cant add faux charges.
If drivers and owners really want to have a go at someone it should be the software developer for the 13Cabs app and their in cab booking screens - they are largely useless. I put all the same info into 13Cabs app as I do to Ube app. But taxi driver only ever seem to receive the suburb (never the full st addy) and I end up having to explain again exactly where I want to go and then usually also have to navigate for them, whereas the uber gets all the details (full address, navigation etc). the taxi app also frequently fails and asks you to call = fail.
Taxis had a monopoly for so long , but their union/cabcharge/taxi companies etc never bothered to invest their huge profits into keeping up with the times wrt reliable booking app, training their drivers etc.
There are die hard fans who will stick with cabs as is their right, just as the rest of us have the right to move with the times and use the superior service.