Read SP and UE for yourself.
There are a LOT of bishops who have done everything they can to inhibit the proper implementation of SP. Such things as conducting Latin Literacy Tests to assure that priests have a college-level translation capability before they are certified "qualified" -- and that is an explicit violation of Art 20 of UE.
There is one issue, though, that could cause a parish to run into legitimate problems. From UE:
19. The faithful who ask for the celebration of the forma extraordinaria must not in any way support or belong to groups which show themselves to be against the validity or legitimacy of the Holy Mass or the Sacraments celebrated in the forma ordinaria or against the Roman Pontiff as Supreme Pastor of the Universal Church.
Given the school’s comments in a previous post, I wouldn’t be surprised if #19 is asserted by the bishop in question. Whether the bishop was in his rights to ban it based on #19 or not, this will only cause more issues within the Church. These sorts of actions only cause more and more Catholics to question what has happened to the Church post-Vatican II and Vatican II itself.