For me it depends on the situation. If there are bass on the bunker pod by all means, leave it out there as is. If, on the other hand, you are just making bait, snag and put in the live well til you have enough for your fishing, then move off to the spot you want to target.
There are also times when you don't know right away if there are bass on the pod. Then, I usually have some keep the bait on the snag hook and have others on the boat continue to snag and fill the well.