I think that LN does not really solve the scalability problem at all.
It will scale the Bitcoin Network, but I believe no one knows by how much. 100x? 1000x? Or maybe less? Because of that unknown, then we simply cannot predict how much it will impact the volume of Bitcoin's usage.
Lightning network ofcourse solves the scalability problem. We can create a dozen of lightning networks if we need it. It's similar to something coinbase has been using within its platform. They were criticised at first for their model but now the whole bitcoin community is embracing the lightning network.