No, your assumptions are wrong. LNbits works with all LN wallets and you can connect also your lnbits account to Zeus, Bluewallet (is a lndhub wallet actually).
Lnbits also support ALL LNURL specs.
You should read and test more about Lnbits, is an awesome solution for a node.
https://github.com/cryptoteun/awesome-lnbits