This sounds like an excellent idea and also a terrible idea.

In the US that would mean allowing the same bureaucratic organization that manages Medicare/Medicaid to manage a transportation app. And then you'd deal with the Intuits of transportation that would legally hobble any meaningful development in favor of their bespoke (and expensive) ride-hailing service...

And so on. Maybe I'm just a cynic about these things.

We could instead regulate a distributed ride-sharing communications system that companies could build apps for and drivers could hook in to. Well regulated industries tend to thrive (look at internet/cellphone providers in Japan).