I haven't tested that specific disc, but if you use a "Bleem" (Sync/Auto) solution to put it in the Sony-made carousel menu, it allocates a dedicated virtual Memory Card to Slot 1 for each game, so I suspect you'd be fine?
Problem is that every core on Pi also has MC Slot 2 disabled by default but Tenka doesn't boot also in this situation so I'm not so sure about PS Classic also...