It is an advantage but it is not huge, it is not moat-like. They have more money to spend marketing and subsidizing rides. Again you said:

"Fasten had to lower their rates"

It is a price war, it is not truly about innovation in the space. Their software & services are not so innovative/defensive that it is hard to switch.

The argument for Uber's leadership is that they are special because they are building something that other Entrepreneurs/Leaders could not, that is not accurate if it is so easy to switch to a competitor. Not much hassle, loss of service when switching, same drivers / same cars.