If I read all the posts correctly regarding the woman on the mountain a few weeks ago, the diagnosis of hyponatremia was not simply based on a diagnosis done on the mountain, but was based on the diagnosis done at the hospital. I don't know whether the information passed along was correct, but to suggest that the diagnosis was incorrect because it can't be done on the mountain is a misleading suggestion when the diagnosis was allegedly based on test done at the hospital.
If the diagnosis based on the bloodwork done at the hospital was hyponatremia, then it does not seem that it was the case of assigning hoofbeats to a unicorn. If doctors at a hospital diagnosed it after doing bloodwork, who are we to dispute it? If the odds against something are one in a million, if the clear and convincing evidence is in front of our eyes that we have a one in a million case, do we deny what we see just because it is unlikely? That seems like bad medical practice.
I would agree, however, that hyponatremia on Whitney seems highly unlikely. Dehydration is a far greater concern. A variety of factors, including all the ones mentioned by Sierra Sam, make hyponatremia highly unlikely. Additionally, the eating of food is not exactly common in the case of a marathon, but who consumes only water up and down the mountain? Most hikers even without having considered hyponatremia, will eat foods that will make getting hyponatremia virtually impossible in doing Whitney even if they "overhydrate."
I don't think it hurts to be aware of the potential for hyponatremia if one is not foolish about it. Have absolutely no fear of staying well hydrated, rather have a healthy fear of dehydration, but do consume something other than water -- salty trail mix, sports drinks, and whatever else one is used to eating to fuel the hike.
Also, I have never heard anyone suggest a danger of hyponatremia overhydrating before commencing an activity. Maybe someone knows better than I, but I haven't seen anything that would make me do anything but be well hydrated before starting. Not beyond common sense, but well hydrated. I then drink regularly, and drink just a little more (but not a lot more) than I think I want, and stay well hydrated.
There is really no good reason anyone should suffer from either dehydration or hyponatremia doing an activity like Whitney. Nonetheless, in a place like Whitney, dehydration is common, and hyponatremia is probably incredibly uncommon, even if it actually has happened to someone. Use common sense, neither should happen, but if you are going to worry, worry WAY more about dehydration than hyponatremia.