I'll use info we do know. Look at custodial wallet download statistics vs known nodes. Look at Nostr. Even among true believers you are all using LN custodially via WoS, Getalby, etc. No privacy from them.

Are you using ln.tips custodially? If not, you are a rare exception 

 semantics. love lightning. it's no monero. it's got promise and growing nicely but no, most people (especially on nostr) do not run their own lightning node because it's a bit of a pain in the ass to run and manage correctly (unlike btc nodes). 

 lightning addresses by wallet on nostr as of april 2023
https://image.nostr.build/dadd6d43b2df865f1e2972b8ee107b330275f52a26f3b44abf2a3dd45ad6499e.jpg#m=image%2Fjpeg&dim=1450x892&blurhash=r4Ss878%5E_41JD%25%5D%25In%25h%7Eq9HIV-oxCS5bds.s%2Cax%25MXSWA-BM%7BXm%3FbIo9YVqRiS%25NMt6xWWAW%3FkE-rjv9YxY%5E%2COYD%25%23Rg2snn%2CkWbEnzjFIuNKxW&x=91bc28ef4e87cafb5bfbe47569856b014d7c3d346f44ea030fc27a3ca89905cc 

 I run my own node, I can't speak of others. 

 You are a rare exception. Hence my original comment "(something almost no lightning user does)"

A big advantage Monero has over LN is that you don't need to run your own Monero node to gain all of it's privacy benefits (hidden amounts, hidden addresses, obfuscated senders). You gain these even if using any remote node.

For LN you *must* run your own node for maximum possible privacy
Even non-custodial wallets like Phoenix offer no privacy advantage