PWA is app running in web browser. Alby hub is app running on my node. My understanding is that alby hub has connection with alby account (over NWC), on mobile phone I will add alby web page to home screen (installing PWA) and can be used as wallet app.

Native app, ok I am not sure how it is going to connect, but I assume it will connect to alby using account. If it is going to connect directly to alby hub then it can by more complicated because it will be running on homelab server behind NAT.