There's support for a bit more, based on their documentation.
You can also add this meta tag to the head of your website: <meta name="lightning" content="lnurlp:you@lightning.address"/>
On Twitter (and other websites), my impression was you needed to add ⚡️you@lightning.address, with the ⚡️ emoji prefix for it to parse correctly.
It'd be awesome if Alby probed to determine if it was a lightning address instead of an email address though.