This is quite true, that is, unless your bullet is a Hammerhead tipped arrow @ 300 FPS!

Actually, there are a couple of negatives for doing this, although it can work. 1st, you have a MUCH smaller target. They hunker their head down amongst all those feathers making it quite hard to hit. 2nd, if you do, you will almost certainly put some shot in the breast. Watch out for those, they hurt the teeth pretty bad. 3rd, as mentioned, you can blast the heck outta their tail.