The LN claim is basically decentralized BGP but much more complex and prone to race condition errors.
https://www.youtube.com/watch?v=Ug8NH67_EfE&feature=youtu.be...
The white paper doesn't even mention how LN routing works!
8.4 Payment Routing
It is theoretically possible to build a route map
implicitly from observing 2-of-2 multisigs on the
blockchain to build a routing table. Note, however,
this is not feasible with pay-to-script-hash transaction
outputs, which can be resolved out-of-band from the
bitcoin protocol via a third party routing service.
Building a routing table will become necessary for
large operators (e.g. BGP, Cjdns). Eventually, with
optimizations, the network will look a lot like the
correspondent banking network, or Tier-1 ISPs.
It seems impossible to implement true decentralized routing, so it's likely they're using some sort of hack to prioritize "masternodes" as the backbone routers instead of actual peer to peer routing.