If the NCAA wants to show its importance, and has a great chance to offset the perception of its greed - it's about to sign the most lucrative FB TV contract ever, and is about to start a bidding war for the rights to host the playoff bowl games which start next year - then they have the perfect avenue through its handling of the PSU 'offenses'.
Problem is, the NCAA has no real purview over a potentially criminal offense (PSU admin's supposed coverup) that may or may not have averted 'bad publicity'.
They also have no authority to force the university to create a fund for child sex abuse or any other purpose. So that's at issue... if they don't have the power, do it anyway and challenge someone to oppose them. Kinda like Obama.