I don't understand why an arrow would be hard to remove from a bag target. They're 2 or 3 finger removal. AND, if an arrow is stuck you can't be "Wiggling it slightly" from side to side. If you do you can break them.[&:]

P.S. Buy yourself a good arrow puller. If you're still having trouble, lube the front 6 or 8 inches of your arrows with a silicone spray.