Totally agree with the example you give, with quotes.
My comment was directed more towards news where they would report, following your example, <Group a says "man walked on the moon", group b says "nobody was ever in the moon">.
When it is reported in this way it feels a bit lazy, under the pretense of reporting on the "facts" ("Somebody said something" is a fact too, but were we on the moon or not?)
I guess all I am saying is sometimes reporting from the perspective of "there are two sides" (for every issue) is not neutral. It is an instance of False dichotomy, and removes all nuance on the debate (only options pro or against)