I am sure we could add a functionality to pay invoice in there. Would be trickier to make it safe, but probably doable 🐶🐾🫡

Yes we could, but it's avoided on purpose for now so that public lnaddress servers don't get access to users funds via admin keys. When running nwc on your node or a service you trust with your zaps (e.g. Alby) you explicitly authorize it to send Sats which imo is the place to do it.