There basically are two different views currently on the future scalability and funding model of the network.
The LN/small block view is to keep that layer limited and small and build on top of it and the idea is that with such limited transaction volume these "settlement" transactions will eventually cost a lot. I don't really see this working since to compete with block subsidy rewards you would need very costly transactions.
The big block or "Bitcoin Cash" view is to scale the block size up and eventually you will have very high volume of on-chain transactions.