enterprisedb (EDB) enhances postgresql making it enterprise ready by adding several features, capabilities and support around PostgreSQL. For details see their website.
ArcGIS currently supports certain PostgreSQL versions with binaries downloaded from postgresql.org.
However, ArcGIS does not currently support EDB Postgres Enterprise Advanced Server with setups downloaded from enterprisedb.com. Unfortunately, when using EDB it is not yet possible to create or enable enterprise geodatabases.
It would therefore be great if support for EDB could be added for the upcoming ArcGIS and Pro releases. What do you think?