Fair enough, always is better to clarify some things as important as LIs are.
I could be mistaken, yet that dude asking for "virgin playthrough possibility" could also meant what if we dont like any of those main LIs?
For example, in BaRs (a popular game, a bit slow on updates last few years, yet completed nevertheless
![Hide The Pain :HideThePain: :HideThePain:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
), there are 4 main LIs. I have no interest in any of those. There are also few side chicks, im interested in. I have an option to fool around with any chick, side girls, and to reject any chick if Im not interested in her. That way, apart LIs endings, there is solo ending, where mc screws around with one, few or none side chicks, happily forever, or at least till the sequel comes
![Booty Time :BootyTime: :BootyTime:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
.
I hope you consider something similar to your game.
You can have few main LIs (4-5 would be optimal, having more would be chore to handle with all those possible paths), and more than few side chicks, yet mc should have choice/free will to chose whoever - and if that means no main LIs will be chosen, so bi it.
Back to me, as an example. None of these three main LIs you have stated above doesnt interest me more than some supposedly side chicks. So, if Im forced to "chose" some of those main LIs just for the sake of continuing the game/playthrough, Im gonna simply drop playing it. Not a big deal, as you have said yourself, most players arent that picky, and as soon as they read "harem" they gonna flush in here and demand full harem, no paths, one playthrogh etc etc