On a scale from zero to five
The modern software platform doesn't address at all the Compensation paradox, Identity paradox or Responsibility paradox: so the maximum score it can get is two. On the Compatibility paradox, it scores around 0.7: I will argue later that a perfect score requires an open source primary implementation. On the Boundary paradox, the score is at most 0.7 as well: the boundaries between VMs are still apparent, as boundary-aware abstraction such as threads and sockets are part of the core API.
MMORPGs addresses more of the Web's problems. 0.7 on the Compensation paradox: a viable economy is present, but there is just one bank. 0.2 on the Identity paradox: at least it knows your nickname. 0.7 on the Compatibility paradox: single closed-source implementation. Zero on the Boundary paradox. And 0.5 on the Responsibility paradox, since there is a central but active authority.
Final rating is: modern software platform—1.4, modern gaming platform—2.1. To build a successor to the Web, don't start with .Net: instead, take World of Warcraft and make it suitable for general purpose use.