I doubt that could be done, as many countries have well over the 10,000 caches per PQ maximum. More useful would be to have an option on your own PQs to regenerate them automatically. I would like one for my solved puzzles.
This would be a major piece of work as PQs currently do not contain the information as to how they were generated, a requirement to regenerate them. If this happens I imagine it would be way down the line. I would like to see lab cache integration come first :-)