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.
You are absolutely right about that. However, in this case we are talking about background workers. I would argue that background workers, such as an image resizing worker, are typically CPU-bound and do not perform high-volume OLTP queries. Therefore, a background worker does not require multiple database connections per thread as a web server would.