Harems are a type of polyamorous relationship, the people who get super hung up on trying to differentiate them, are basically the same as people who refuse to acknowledge that all squares are rectangles, add in their bigotry and they don't really contribute anything of benefit to the discussions here.
lmao, did I say anything about how I disagreed with the poly lifestyle? No, I did not. Not sure how I can be a bigot, but that's whatever.
Also, I wouldn't consider a harem as a polyamorous relationship simply because of the connotation behind polyamory.
So no, a harem does not equal a polyamorous relationship just because a collection of people use polyamory as an umbrella term. Even the other poly's,
(polygamy, polyandry, polygyny, etc. and even others like bigamy, etc.) already existed and covered many of these relationships, the only thing polyamory added to the table is that it's more malleable and can move outside of the aforementioned poly
(and bigamy, etc.) terminologies used to define specific non-monogamous relationships. That's it.
While harems fit in the concept of polyamory, harems are not necessarily polyamorous relationships by default since harems existed before people in Western society came up with the polyamorous concept. If you ventured into cultures with harems in the past, and even today they'd likely not call themselves polyamorous of course since it's a 90s' definition that originated in the West. It might be arguably the same with the other academic definitions for non-monogamous relationships.
So just tag the game like it is. It's a poly route, not a harem route.
Regardless, this is all my opinion. I'm not here to argue with you over and over about a topic like this since it serves nothing but terminology baiting. I said my piece, you said yours. We don't agree, so I'll let you be with your belief, and I'll stick with mine.