A roguelike is a game where you move like in Rogue, and this is just a list of features that roguelike players enjoy, with some omissions and some badly formulated, that was mistakenly assumed to be a definition. Canonical roguelikes rarely satisfy "Monsters are similar to players" or non-modality by the level of strictness you are expressing here.
IMO "non-modality" just means that there is no separation between exploration and combat (as opposed to e.g. typical JRPGs), so you should get full score despite the Shrine mini-games. And 0 for "monsters are similar to players" would be something on the level of mines in Minesweeper.