These sentances conflict. I recently took a taxi from JFK to Manhattan during rush hour, and I estimate if the driver didn't use all of the paved surface, it would have taken at least 10 more minutes to arrive. (And it wouldn't have been an authentic NYC experience)
It's ok if you prefer the Waymo experience, and if you find it a better experience overall, but if a human driver saves you time, the Waymo wasn't better in every single way.
I am assuming the Lyft driver used the shoulder effectively. My experience with Lyft+Uber has been hit or miss... Some drivers are like traditional taxi drivers: it's an exciting ride because the driver knows the capabilities of their vehicle and uses them and they navigate obstacles within inches; some drivers are the opposite, it's an exciting ride because it feels like Star Tours (is this your first time? well, it's mine too) and they're using your ride to find the capabilities of their vehicle. The first type of driver is likely to use the shoulder effectively, and the second not so much.
Lived in New York for 10+ years and still go back regularly. This is unacceptable behaviour by a cabbie.
Given the amount of construction and thus police presence on that route right now, you’re lucky you didn’t get a 60-minute bonus when the cab got pulled over. (The pro move during rush hour and construction is (a) not to, but if you have to, (b) taking the AirTrain and LIRR.)