I imagine SpaceX could eventually perform the majority of routing in orbit, with packets returning to earth for the "last mile".

If they're successful, you could potentially see a high bandwidth SpaceX link on the roof of every major data center on the planet. They could be self-reliant for connections to every major online service.

If they're very successful, you could potentially see data providers like Netflix and CloudFlare joining SpaceX in orbit, most likely embedded into a future SpaceX satellite...