[CPLX]

Of course your app with one driver would get usage. Your comment contains its internal contradiction right there in plain sight.

If "no one would use the app due to high wait times" then your driver would always be available and ready to go. So someone would be happy to use it whenever the dominant app is having trouble keeping up with demand. Which will always happen from time to time as long as demand has occasional peak periods and supply has some practical constraints, which a fleet of cars always will.