AWS RDS support is key IMO, I have done a lot of consulting on infrastructure and most clients I had don't want to have third party services and don't want to manage their DBs.
Agreed! But for most of our customers, they want to separate their OLTP Postgres from their Search Postgres. This is because query patterns differ, and you want to tune Postgres and choose hardware differently. This also provides higher reliability and ensures search queries can't slow down transactions.
ParadeDB implements this by ingesting logical replication (WALs) from the primary Postgres. This gives a "closely coupled" solution, where you have the feel of a single Postgres database (ParadeDB is essentially an extra read replica in your Postgres HA setup). More here: https://docs.paradedb.com/replication/pg_search