It ultimately doesn't matter because of the low volume they're dealing with, but gang, "just slap a queue on it" gets you the same results as "just slap a cache on it" if you don't understand the tool you're working with. If they knew that some jobs would take hours and some jobs would take seconds, why would you not immediately spin up four queues. Two for the short jobs (one acting as a DLQ), and two for the long jobs (again, one acting as a DLQ). Your DLQ queues have a low TTL, and on expiration those messages get placed back onto the tail of the original queues. Any failure by your consumer, and that message gets dropped onto the DLQ and your overall throughput is determined by the number * velocity of your consumers, and not on your queue architecture.
This pg queue will last a very long time for them. Great! They're willing to give up the easy fanout architecture for simplicity, which again at their volume, sure, that's a valid trade. At higher volumes, they should go back to the drawing board.