Firebase has a product of the "functions on the cloud"-kind, which we use, a lot.
Auth + Storage + Functions is all we really need, and that triad is now complete on Supabase.
Supabase offers a lot more than edge functions (db, auth, etc). Take a look at their website
I know but the same goes for Firebase. As matter of fact, Supabase started as an open-source replacement for Firebase.
So what's the question?
If you are using Firebase Functions, it should be easy to port it over to Supabase Edge Functions. We also offer a Realtime database (Postgres), Auth and Storage as part of our stack.