Put both conclusions in but one answer
In theory BESW's answer is correct. Were the system perfect, each question about an ambiguity would get many answers, each answer addressing a different area of that ambiguity and reaching a different (or the same) conclusion. Voters would read each answer, recognize the nuances of each, and a best single-conclusion answer would float to the top.
It doesn't work that way. The body of experts is too small to make that number of different answers a reasonable expectation, and the patience required to read and recognize subtleties between multiple answers is, for many, too vast. Finally, the tendency to consolidate earlier answers into a clearinghouse of a lone big answer later exists, so were a dozen alternative answers presented individually, another later answer might piggyback on those, add others, include some uniques, and end up with a good, cool, useful (if massive) multipurpose answer with greater appeal.
That said, an answer that doesn't address at least obvious alternative conclusions in favor of single-shotting a lone conclusion is often downvoted, even if the lone conclusion that's reached is elegant, reasoned, and playable. That's because those who disagree with the lone conclusion downvote the answer because they think it's wrong rather than downvote the answer because they think it's not useful.1
If not taking a side makes you uncomfortable, take sides for or against one of the sides you've presented within the answer itself.
An answer that addresses multiple sides of the same issue is often considered more useful than an answer that addresses just one side.
1 I know that users never need justify downvotes and can downvote for any reason, yet the mouseover text on the downvote button really does say This answer is not useful not This answer is wrong, which I've always appreciated as a nod to wrong answers still having the possibility to be useful answers.