Earlier quoted context omitted.
> 4. Use separate bouncers for each application that might be different (extension of #1) I wonder if clients send something equivalent to a User-Agent, such that the connection pooler could assign them to different pools automatically.
This exists, its called a user. You just use different database users for this.
Every new version of your app has the potential to change behavior in a way that would affect the previous version if the connection was recycled during a progressive rollout.
But I don’t think I would want to create a real database user for every version of the app.
I suppose the connection pooler could map versioned users to the same real user, and use separate pools, but a dedicated UA field is probably better.