I essentially agree with your analysis. I've said several times that instead of a small "economy of scale" with mining, which has already made mining an oligarchic business, the "economy of scale" in lightning is essentially proportional to the amount of funds you can put into your links. Which makes a HUGE advantage for whales, becoming central hubs: your bank.
In fact, the lightning network is PERFECT for your connection to your favourite exchange, which can act as one of the few central hubs in the world. It has the advantage that the central exchange cannot run with your funds, like it does now, with an IOU. Big exchanges can have bidirectional channels between them (the "banking back bone", swift-like), and as such, you can pay anyone through your channel to your exchange (you only need 1 channel with all your funds !), your exchange can transmit your funds to the exchange where your target is a customer, and that exchange will "push" the coins on your target's channel. 3-hop LN.
Of course, your exchange is now your bank, that can charge you with fees for using their banking service, can block payments to certain other people, knows all you do with your funds, etc.... but at least, compared to a normal bank, cannot run with your funds.... unless they can spam you out of the block chain for the time it takes to settle...
The LN is the missing technology that will turn centralized exchanges into world banks.