Oh, if you are not talking about zaps, then lightning addresses are not actually used that often in the overall lightning network. Lightning addresses are an user experience wrapper around bolt11 invoices that's convenient in some use cases, because it provides user readable & writable address (similar to how sending email is convenient and decent solution to some usecases - are you sending emails?). Is monero providing user readable & writable addresses? How does it solve this without relying on DNS & domains? Now bolt11 invoices are supported by literally every lightning wallet. The privacy there is decent for the sender (onion routed, same as Tor), but it depends on specific node/tool/app you use. Bolt12 is generally better, but as we discussed, not all wallets support it yet. The situation has improved quite rapidly last year - I use bolt12 when it makes sense.