I don't think you understand. The reason this college is useless for academic purposes is nothing to do with its accreditation - it's to do with its reputation.
We know accreditation is irrelevant, as other colleges do fine with out. You can be accredited and have a reputation, or you can be not accredited and have a reputation, or you can be accredited and not have a reputation, or you can be not accredited and not have a reputation.
The two things are entirely independent.
Almost nobody (notable exception probably the government) cares if your college is accredited or not. When you say you have a Stanford degree nobody goes 'wait is that accredited?'