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No need for individual channels between Alice and Carol...
No need for individual miners to build their own templates if Antpool is in the middle with a stratum server!
I'm expecting the actual distribution of LN publicly-routable liquidity to resemble the distribution of hashrate in 10ish year (assuming LN continues to approach market saturation). Maybe a couple dozen uberbank nodes will manage 90% of public capacity and 1 or 2 nodes manage +50%
Those top nodes will certainly use tx batching everywhere possible, just like exchanges do. As economic nodes, they will excel in aggregation of blockspace demand.
Just as Mining Pools have been known to create block templates that censor, likewise Uber-Bank LN nodes will likely "whitelist", and "blacklist" recipients. Like Email, it might become EVEN MORE DIFFICULT to run a sovereign node and reliably receive payments/messages (especially if you are seeking privacy no-KYC, or are sanctioned individual).