There are lots of places in the US where if you don't have a car your only reasonable options are an Uber/Lyft or calling a cab that may or may not arrive.

That’s not what I was asking. I don’t even have Uber on my phone because in my experience the’ve been the worst for years so I don’t use em.

Thus being blacklisted by them seems like a non issue, unless there’s local monopolies somewhere.

Which cab service won't pick up a customer after accepting a phone booking? I have never experienced that in the US.