"... shoot(ing) it out with another round" bears the distinction of not only being dangerous, but counterproductive. The objective is to have an intact barrel following bullet removal.
While I agree that the recoiless method carries a degree of over-kill for a primer-lodged bullet, there is nothing insane about it (...and it is fun!
). It should be noted that there is a class of armaments actually designed around this principle.
There are some, rare, situations in which "tapping" with a wooden dowel is simply not up to the task.