This is very true. However, if the wound is minor enough that resting will prevent the deer from bleeding out, this deer will be able to cover a lot of territory if pushed. It may also leave a very spotty blood trail. I would get on it with a rifle, but not a bow. I would let him bed down and hopefully bleed out. If he’s able to run, you’ll chase all over the country side before he expires or lets you within bow range. These are very tough decisions and it really depends on where he’s hit. I’ve found deer where I was 100% sure I hit it one place and the hole was somewhere completely different. A muscle wound is a tough one for a bow hunter. If you hit a major vessel, he will bleed out in time. If not, he’s probably going to recover.