Damus is another client which I believe uses the nwc extension to handle transactions. I do not know if that client supports ln address or ln url.

You may have to set that in nwc for damus i've never used the nwc extension because amethyst is a good enough client for me. As far as I know by default damus supplies you with their own wallet as a temp till you add your own so you have to send them out.