I'm not sure. If you can afford to be picky such a large range might be a bit of a red flag.
Also, if I'm looking for something close to the top of the range the possibility that I may get a way lower offer might put me off. Specially if I'll need to fight the company to get the top of the range salary.
I can think of some unusual situations with a really small company. Say you're looking for people who can do two tasks and those two tasks either don't come along in the same person or take too much time for one person. So you're looking for two people, but you're also looking for one of them to be senior and head up the team -- you don't care which one.
I feel like this comes up in the sub 10 people startup situation. You need someone to work on anything that comes through the door, and you need junior guys to just pick up the grunt work and do tasks.
Also, if I'm looking for something close to the top of the range the possibility that I may get a way lower offer might put me off. Specially if I'll need to fight the company to get the top of the range salary.