However, if pooling isn’t used, there’s always an overhead (tens of milliseconds or more) when creating a new connection because Postgres needs to fork a process. And yes, applications can be written without pooling, which isn’t ideal, but happens quite a lot.
Application frameworks have also changed. Serverless architectures can generate tens of thousands of connections, which is where Postgres starts to run into issues. I’m personally not a big fan of using more than a few hundred connections, but it is very realistic in this era.