well the answer and to think like this is what keeps me failing physics
is this:
with wood the lower its in water the more potential energy it has
the cog of the stick is lower vertically than horizontally and mother nature if it can its generous and spends potential energy
but the thought worth having its that in both cases it evacuates same water so the force should be equal
but the the only equal force is the vertical staright force in both cases
but theres a twist rotational force that only appears with the stick vertical
therefore with the same force of buoyancy according archimedes. The force is actualy stronger in one case than the other
but dont worry i wont tell this my physics teacher as i wont tell my psichiatrist that all tvs are stereovision
edit:
or i could be all wrong because if you put a 0.5 density stick cog will be in same position however it floats but id say it will float horizonatlly
i know ill confuse you cause im confused and im finishing nautic engineering