There is actually a very widespread misconceptions about privacy benefits Lightning. If you use custodial, you have no privacy (from your wallet). If you use noncustodial, the receiver has bad privacy. For the sender, you may have good privacy, but there may be an active surveiller if they are doing active routing surveillance.

It's definitely a good thing to have around. No need to keep money in e-cash form though, but it's there if you want to, let's say donate to something really sensitive, get some e-cash, send it to them, (through signal or Nostr DM,) they cash it. I guess that's the thing, you text message or nostr post or email someone a cashu note. There's no chainanalytics or off-chainanalytics (Lightning surveillance) that can be done on it.