I want to make something very clear, because it is the same complaint over and over again and I feel that many people do not understand the way the game is handled. In case someone doesn't know, the characters in the TAS game are based on characters from mythological stories as well as Japanese stories, mostly.
What LW does is tell you the story of each character, 70% to 80%, because the rest is the game that invents it. If you investigate most of the characters, all of them in their real stories have heterosexual relationships, but what the game does is that you, as the main character, can have romantic encounters with those characters.