GoodJob author here. Excellent observation.

It should work if PgBouncer is using session-level pooling, but not transaction-level pooling. I made a ticket to document this: https://github.com/bensheldon/good_job/issues/52

I don't have much experience with PgBouncer. What's the scale/need when a team would use PgBouncer? That would help me prioritize supporting it better.