The employers want applications so badly they are willing to post job ads that don't exist.
The need for a referral to get human eyes on your resume is a different problem that isn't made better by making every application expensive for the applicant. Poor quality applicants have more time, you might say.
I disagree and think that increasing the cost of applying would indeed help this problem. If the number of applications is too high for humans to possibly review, what other possible solution could there be?