You generally have more than one database connection per thread. As an example, consider Node.js which acts like a single threaded process. You’d probably want to be able to handle more than 1 database query concurrently since network latency tends to dominate OLTP requests.

How you setup LISTEN and NOTIFY is app dependent. In a multi-tenant database, you could have 1 NOTIFY channel per tenant.

As you scale, you probably do something that listens in a smarter way, maybe 1 Go channel per client with a single LISTEN instead of 1 database connection per client. The downside is that now the app code is responsible for tenant isolation instead of the database.