Lightning Network exceeds the throughput of VISA. The scaling problem is being addressed -- just not in the naive "let's throw away decentralization and increase the blocksize" way.
This sounds somewhat cumbersome, but AFAICT the gains apparently come from routing between channels, so if A wants to pay B, and channels exist from A->C and C->B then payments can route that way, without the need for more on-chain transactions.
To me this sounds really quite complex, and also like it's going to involve intermediary 'hubs' which will process off-chain transactions and... well it sounds like banks and centralisation again, something the BTC crowd apparently hate.