The cheaper rates in NYC which are extremely high compared with the rest of the USA were because there was no $125 / 12 hour lease fee because there were no medallions.
Medallion owners would get mortgages (like houses) for the $1.2 million medallions and the high lease fee paid for the medallion mortgage. In fact the other special interests besides Yellow Cab medallion owners were credit unions who financed these mortgages.
A $125 / 12 hour lease fee comes to over $90,000 per year.
By not having to pay these excessive expensive leases, drivers could be paid less money and still make a profit. Drivers who leased the Yellow Cabs still have to pay for gas. Lower costs for taxi service means more time with customers in cabs. Everyone wins except medallion owners and credit unions with the mortgages and politicians bought off by these special interests.