LN-auth is nice but I consider nostr login more powerful and useful. LN wallets used to login are usually lost. People are not well organized to keep track of them. I use LN-auth in many places, including SN, but if is also offered nostr login, I prefer that and keep LN-auth as backup login. But I am very organized with keeping track of which wallets are for login. Also do not use any custodial account to login. You can lose the access any time.

Here is a list of all LN wallets that support LUD-04 (auth) https://github.com/lnurl/luds

If you really want to use LN-auth, I suggest to use a dedicated LN wallet just for that.

And here you have a full guide about LN wallets and their features https://darth-coin.github.io/wallets/lightning-wallets-comparison-en.html