I don't automatically pump 2 rounds into the bank to see what follows. I keep tinkering with cleanliness, lube, bedding, etc to try to find the combination that puts the foul shots in a group with the next 3 rounds. Then I can hunt with a clean barrel.
Some of my guns do not need a foul shot. The norm for them is a reasonably (not immaculate) clean barrel with a light lube. Before shooting/hunting run a dry patch thru. This still leaves enough lube to prevent rust in wet weather and not enough lube to effect the poi of the first shot.
Each gun is different and some just get better with time so print every shot.