We have to make a lot of assumptions, and there's very little to anchor those assumptions to. So all we can say is given set of assumptions x, you tend toward world y.

One of my assumptions is that, depending on its capabilities, constraints, and speed of takeoff, an ASI may not be in a position to establish a singleton. Even an uploaded human mind is technically superintelligent, and it's easy to imagine a vast ecosystem of those forming.

Even if you imagine a singleton arising, you have to make some assumptions about its activities and constraints. If it's going to be doing things in places that are physically separated, latency may be an issue for it, especially if it's running at very high speeds. It may want to delegate activities to physically distributed agents. Those may be subroutines, or whole copies of the ASI. In either case, you again have a need for agents to exchange resources.