I used to teach the archery, treestand and M/L end of hunter safety in town. I always emphasised that one should use a razor sharp broadhead and the best arrow you own for a shot on deer.
One evening after class a teen hunter came up to me and told me his story; he said he saw his first really nice buck while walking in to his stand one evening. He slipped up to within about 50 yards of it and being inexperienced he decided to take a hail mary shot. He said he knew he would miss, didn't want to lose a good arrow so he picked a well worn one with a rusty broadhead out of his quiver and launched it toward the deer.
To his surprise his arrow hit right where it was supposed to, he got poor penetration and the deer took off. He waited a while and started looking for the deer, there was little or no blood trail, not finding the deer he finally gave up the search with plans to come back in the morning.
The next morning he continued the search and eventually found the deer. He was planning to have this nice buck mounted until he took a closer look at it and found to his horror some critter had eaten the lips and part of the nose off overnight.
Had he not used a dull rusty broadhead out of fear of losing an expensive arrow he would be admiring the mount of this buck right now instead of finding the mangled mess of what was once a fine buck.