I can think of a thousand reasons why a boat MUST go over a wave,

nah.

however I can only think of one reason why a boat MUST go through a
wave and that is if it is heavier than water and is capable of passing
through a wave.

all boats pass through waves to some greater or lesser extent. Just stand at
the bow and watch, or watch a Hobie cat go by (a displacement if there ever was
such a thing)

besides, the sine function claimed to support "theorectical hull speed" does
not hardly EXPLODE at zero degrees. In fact, it is zero at zero. In fact,
even at 2x hull speed it -- if it were accurate and it is not -- would only
account for about a 40% increase in needed hp, while doubling the speed would
required 800% more hp just to overcome drag.