For the info, actually light enforce the play order for Dies Irae with the player must finished either Kasumi or Kei routes first before playing Marie's route and only by finishing Marie's route the player can finally play Rea's route. The only reason why player can pick any route they want to play first in English version is because light decided to just unlocked all of the routes from the start as DLC, with many people suggest the new players to play the VN as intended starting from Kasumi's route.
For the topic, two more example of the VNs that I can think of are Amazing Grace and Flyable Heart. Flyable Heart did follow Multiple Route Mystery faithfully, even though the staffs divided the six heroines routes into three stories (Mayuri and Sakurako, Amane and Kururi, and Yui and Suzuno). The three stories did try to tell the circumstances about the MC and the setting, although the middle one (Amane and Kururi) didn't have much connection to both stories (It still has nice heroine writing (For Amane) at the very least). For Amazing Grace, it's more like Ladder Structure like G-Senjou, so each of the heroines routes are more or less like the arc with each of the routes reveal something more in regard of the clue that will eventually help Shuu (The MC) to find out the answer to the peculiar setting around him. Not everyone find the answer satisfying, but at least Amazing Grace did make the routes contain the connection to the main stories.
That's all for what I can comment in regard of the topic.