What is a nostr relay pool? Are you saying multiple connections to the same relay are not fungible because of the AUTH state?
Non fungible because different relays are used for different purposes, they're not purely interchangeable
Two different postgres databases aren't interchangeable either. I woudn't compare a postgres connection pool to a set of connections to multiple relays, I'd compare it to a set of connections to the same relay. Of course if you think of multiple relays as comprising one distributed database then I see how you could think of it otherwise, but it is what it is.