I very clearly do.
Rather than respond to the anecdotes, I'll point out that I was rebutting the original claim: that Uber was cheaper because it (unlike medallion cabs) does not have to pay for licensing fees. Uber does pay for licensing fees, just under a different classification. More importantly, that's exactly who Uber's competition is on the drivers' side, which is exactly what OP was talking about. Uber drivers are generally people who have driven livery cabs for years and either split their time between Uber and other livery cab services, or have switched over to Uber for livery cab driving.
When talking about the price, it's more accurate to compare Uber to other livery cabs, and to say that Uber has caused the share of livery cabs in the overall cab market in NYC to increase, rather than to look narrowly at the medallion market, and ignore the regulatory field that they are in, ignore the costs of that regulation, and ignore all of the direct competition on the supplier side.