The first link was in response to someone implying that hyponatremia is caused by not consuming enough electrolytes in food
No, that was not my implication at all. My implication was that the amount of electrolytes we consume in tap water is miniscule. So little comes from water that even if we were to completely eliminate that source by switching to distilled water, we would not significantly affect the levels in our bodies.
The second link outlines the health risks of demineralized water.
The second link is a fucking ad. It was written by people who majored in sales and marketing, not science or medicine. It's shit. I'm not going to pick through that cow patty for the few kernels of truth that might be hiding, and I promise you, I won't find them very appealing after you do the picking.
Your latest link does, indeed, list some health concerns about demineralized water, relating primarily to calcium and magnesium. Where diets are already deficient in these minerals (and thus the trace amounts in water are a high percentage of total intake), switching to distilled water would, indeed, contribute to such deficiency. This is irrelevant if your diet has sufficient calcium and magnesium.
It also suggests that demineralized water can leech toxic heavy metals from plumbing systems, as we saw in Flint, MI, when they switched from a hard water source to a softened water source. This is irrelevant if your plumbing source does not contain toxic metals.
Notably missing from those health risks is "hyponatremia". I found 9 references to hyponatremia in that paper, and none of them suggest that distilled or demineralized water poses a significant risk over tap water.
However, your link also confirms my argument, on page 43:
The relative of contribution of water to total dietary intake of selected trace elements and
electrolytes is between 1 and 20%.
The overwhelming source of electrolytes and minerals in the body is from food, not water. Since we do not acquire a significant portion of electrolytes from water, the lack of electrolytes in distilled water is not an important consideration.