You can call anything equivalent if you pick and chose what factors matter
Specifically, the power of the <n> basic stories meme is that it implies a lower information content of our stories than we supposedly realize. The meme makes you feel smart by inducting you into the enlightened set. But in fact, the low information content is in the supposed categories, not our stories. They throw out all the details that actually make a story. Even if one of the categories was the ridiculously specific "tiny man makes treacherous journey to destroy dangerous magical object, also there's a wizard", that's still a far cry from reconstituting LotR.
We tell the same stories again and again because there's a finite set of stories that engage our mind, whether we like it or not.
May as well say all stories are "Man vs Man" or "Man vs Nature" or "Man vs God". Sure you can categorize basically every story into one of those three things but it is almost never useful to do so