Higher sense and nonsense are, in regard to understanding, the same. That is, they are unassimilated and unassimilable to knowledge. To intention, however, they can be different, but not necessarily. Regarding an unknown as potentially having a higher sense opens the possibility of actualizing that possibility in active understanding. Regarding an unknown as mere nonsense closes the possibility.
There is, however, a second and third way of regarding an unknown as as having a higher sense while leaving the possibility of understanding closed: Agnosticism categorizes the non-understood assertion to be unfalsifiable with no intention to attempt to affirm, refute or otherwise grapple with it. Fundamentalism categorizes the non-understood assertion as true with no intention of ever actualizing the truth in understanding. They evade grappling with truth by exteriorizing and worshiping. Its overheated emotionalism regarding its professed facts conceals a lukewarm indifference to lived participation in truth.