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I don't think it's so much that they allow it as they have a general rule against interfering in the activities of other courts without really clear malfunction, and in this case it looks like judge after judge, court after court ruled against the guy, leaving little room for the SCOTUS to act and throw out all of those rulings.
The Supreme Court declined to interfere because it looked like the applicant had his day in court, and they didn't see room to override all of those other judges.
