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So I don't think that the lightning network solves the problem we have today which is getting people to do their FIRST txn (expand the network) and then getting them to use it periodically (use encourages merchants to accept it).
Once people are using BTC a couple times per day, LN is becomes very valuable. Its actually WORSE if you do just one txn in a payment channel (it takes 2 blockchain txns instead of 1).
So LN won't actually solve the typical use pattern today. And if that pattern is forced to pay high fees people will choose other payment options stagnating Bitcoin growth (or best case transforms into low velocity digital gold) to the point where we'll never need the volumes LN can offer.
This is actually a great argument! I think you are completely 100% correct here, but to have another strong case for the blocksize increase, what we would need to have here is some data on actual usage patterns of Bitcoin to support this argument.
Did someone already extract 'typical spending patterns' vs. 'typical investment patterns' from the Blockchain?