We're using Neon with an internal Kubernetes operator and we're incredibly happy with Neon's tech solutions and my company switched over to Neon from PlanetScale. In part for the ability to scale up/down easily and also so I could run multiple databases on the same cluster and Neon starts very quickly as well which is pretty awesome but I think they are not equivalent of each other. Neon is like a serverless Postgres database, while Supabase is a BaaS.