No doubt pay will attract qualified applicants. I know there are hundreds of flight instructors, chief pilots, guys in management at flight schools all who will never leave their job because they don't want to take a pay cut to to go to a regional, have a worse schedule, and not see their family every might.
Now, will more pay put more students into the system. Perhaps, but I know these type of students all too well. They aren't there because they have a passion for it. They are much more difficult to train and will try to kill you around every corner. Good luck getting these guys to 1500 hours when that time comes too.
Just think about it, how many doctors do you think successfully pass med school that are only in it for the money. I would venture to say not many. Even with a modest pay increase, you will be hard pressed to motivate the average individual into this career.