Some nodes will be better-connected than others. There is potentially a correlation between submarine cables and the topographic location of 'supernodes'. Therefore, with the risk of centralisation, that means that there could be a non-marginal lack of trust.
Here you can see the Nodes and Channels of the Testnet Lightning Network:
In comparison, here is the interactive map of existing nodes of BTC network.
Here is the interactive map of all submarine internet cables.
How the lightning network works is explained here:
Finally, California-based bitcoin advocate Andreas Antonopoulos made a useful presentation about scaling and the lightning network:
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STOPUPDATE:
https://lnmainnet.gaben.win