I think it would be a disaster. Public schools are an open book, with respect to validating eligibility. Grades, attendance, legal residency, disciplinary actions, and other pertinent and relevant information can be examined by those that it is requisite. Even if it takes a FOI request.I actually don't think you are in the minority but I think it would be a lot to merging the two.
Go try to verify that type of information from a private school. They would laugh in your face.
Is this really the direction we want the League to go?