Winner take all can be regional, though, with different winners in every city. Look at the phone companies, for example.
For taxis, drivers already use multiple apps. What could happen here is that drivers keep driving for uber, but advertise for the better paying app with everyone who gets into their car. Then all the local riders switch over to the coop app, and the drivers still driver uber a bit for the it of towners
But I also don't think that commenter is disagreeing with you - when they say huge value, they're probably gesturing towards the fact that consumers will generally use whatever the most convenient and recognizable brand is. It will be hard for the coop to achieve a core customer base which allows them to survive if everyone gets off the plane and uses Uber instead of looking for the local coop.