Well, you’re getting into areas of philosophy (beliefs), and that is moving outside of the realm of the questions that physics addresses. If you want to go in that direction, it is something I am reluctant to comment on in a thread that really began as a technical discussion.
We currently have a runaway situation in math ~ we have found it can describe conditions in some detail in universes/realities beyond our own. What that does instantly is substantially discount the future utility of math in predicting anything at all!
My point was math hadn't predicted Rogue Waves. However, once we had some mathematicians who believed Rogue Waves were possible, they came up with predictive mathematics ~ with a distinct quantum mechanical point of view.
Rogue Waves are still "Rogue Waves" that just pop up out of an assortment of other smaller waves ~ because they can. Which raises the question ~ what do you really think the Japanese are trying to hide at that reactor?