Like all things in Bitcoin being based on trade-offs, I think Lightning's is precisely that - Liquidity... and sure, some privacy too (which is being refined with BOLTs).
I'm currently of the mind that, aside from other L2s like Ark really taking off, most people will eventually just use either custodial LN, or ecash. And being a small LSP operator for a mint used by a community or family, may be worth the hassle.