I don't know.

But during my short research into different libraries for networks I discovered many functions / metrics that might be useful if applied to LN.

The Betweenness-centrality optimization is sort of proven. I mean I applied an algorithm and it works for nodes I tested.

notgeld

What other kind of centralities might correlate with betweenness? 

random_

bitcoin

Paper Synopsis: A Centrality Analysis of the Lightning Network 

It is me who wrote it.

Yes. The only caveat there is to use special function for re-calculation of Betweenness-Centrality metric.

It takes time. However, improper library (like networkx) may take even longer or crash. The optimization demands much RAM.