Private Satellites Using Storj Nodes with Crypto Payments and Commission Model

Probably not. The satellite is the most crucial part of the network which requires expertise and resources to run. If the satellite gets messed up, customers, nodes might lose data. And we have seen in the part that even Storj had to roll back unwanted deletions.
But anybody can already run a satellite today however interest is low:

So what you are suggesting is that Storj could charge any satellite that they put on their list of satellites, so they get found by the existing nodes:

Otherwise there is not much more Storj has to do with other satellites. The satellite operator is responsible for paying nodes, acquiring customers etc.
Of course it could always be negotiated if Storj can handle that and getting paid for it.

As Storj has the expertise and the resources to run the satellites and satellites are so important not to fail, I believed that it would be rather the satellite part that would get outsourced by interesting parties. That’s why I had suggested to offer the Satellite as a service where interesting party would manage the customers and the nodes part but leave it up to Storj to run their satellites and pay Storj for doing so. As it seems, this is possible by now:

In the last Town Hall they gave information that sounds like something like that is going on in India: