Literally both of these statements are wrong.
How...? He said the 1:1 theme which goes on for every Harem story in any media. This didnt changed all these decades. What you just said in your example, is a story with Harem elements -> but that dosent make it a Harem. Same like bunch of salad on top of meat dosent make it vegan now. As in your example, the focus in this game is to "save" the girls, which might add some tension, but if its the whole focus of it -> then its not a Harem. Then you also have to look it from its theme, which is that its already a story full of used hoes, who either did it, do it, or will do it. Since its not a VN or any straight forward type of media, but a supposed game with choices, you might at least have here a point here. However: Its once again what type of content is already present and how they are differ in quality, and from what I heard, its more on the NTR side.
Now, im not saying you cant have "this" in your game, whatever it tries to do or portray, and Im sure it has it appeal to some, but you really have to do some mental gymnastics to look at it and say its a Harem. No need to start about what NTR is currently, as this would be another topic.