I said like PoS, definitely not PoS indeed.
The mining algo will remain a PoW algo for sure, but the way the architecture is displayed for a LN, there would be a utility function for users within the system to act as ''liquidity providers'' and earn a fee this way. Now, as you can see, this starts to resemble the same economical realities as a PoS system. If you provide a lot of liquidity (ie Bitcoin) you can earn fees by allowing users to hop through your channel using your Bitcoin.
Now as you can see, it would be profitable to be the largest one of these hubs as soon as possible, since there is very strong network effect (easier and fastest to reach people in the largest network) and first mover advantage (most retailers users will start using you and will not stop using you without a good reason to do so).
This naturally leads to my question: why not make a fund, supported by and funded by the community to provide this liquidity and earn the fees. This would be better than some whales earning all of the fees because they have the most liquidity in my opinion but that is just my personal opinion. There is no practical difference for the user.
Kind regards and thanks for reading and commenting :-)
LN involves stake, but neither proof nor consensus so wouldn't compare it to PoS. Having bigger stake, providing more liquidity, more fee. Yeah, some major Bitcoin exchanges and wallets would be operating large payment hubs, central hubs, but since the whole security of LN relies on the decentralized Bitcoin Blockchain, LN causing centralization isn't much of a concern.
LN is open source and anyone can run a node. As more Bitcoin related businesses are launched, there would be more payment hubs. For example, users of Coinbase might prefer using Coinbase payment hub, similarly Xapo or any other service so individuals/businesses are incentivized for having a bigger stake, open competition.
LN gives more advantage to whales and big Bitcoin businesses, right, is it unfair? No, someone has heavily invested into Bitcoin or the other has been providing a reliable, trusted Bitcoin service. So I don't see why a community funded LN hub is required.