Would they though? If you make it easier to apply, then that 60-80K could become 100K. When more people apply, your odds decrease.
I can tell you for a fact that if you went to a draw, the Diamond Creek unit would see an additional three applicants every year. I am one person, in one town, in state and I know of three people that would apply for that unit. Expand that out and tell me how odds would increase by going to a draw?
The problem with going to a draw is that the system you currently have is basically a draw. So people are saying we should fix the current draw system by going to a draw system. Its like taking 20 bucks from you left hand and putting in your right and saying you are richer.