If it did it could be - if it could show how many applicants are actually qualified. Then a job board that listed more prominently jobs from responsive employers could get attention.
I'm not sure it's "jumping through hoops". In a well functioning company, providing evidence for a hiring decision is something that must happen anyway. How can the recruiter justify why they said yay or nay to a candidate? They might not remember the details but they're probably scoring candidates in broad categories. These categories tell you "90% don't have the right to work in the country never mind meet the job spec in other requirements".
If this data is available and isn't communicated to candidates there could be some other reason, likely that job boards make most of their money only from companies.