Is there any particular reason for no free play mode? it seems to see a lot of the scenes you either have to follow a guide or get incredibly lucky to hit the exact right variables. Why not just have a free play where you can play past the Tuesday but with no further main story..?
The game is a true visual novel not a sandbox in concept or design. Most scenes/results can be gotten through different ways. There are only a few very narrow paths to get specific results. Making Jill a spy or becoming Barberry's thrall are two examples. I believe there are two ways to get Jill as a spy and two ways to become Barberry's thrall. Femdom kink is the only event chain with one way to get it and that is accepting the Queen's contract[at least the only one I know of]. I also think the Practical Joke of making Rio think she is dumb is also a one choice event.
The walkthrough is NOT comprehensive it is someone telling you how they got x results. There are multiple ways to control students and faculty. You can do with with multiple different spells but you can also do it with some people without spells at all.
An example is Lydia [store clerk] you can met her at the store on the first day, then meet her at the bar on the first night sleep with her. On the second day you can go to the store before meeting your parents and sneak up behind her strengthening her relationship with her. Her entire relationship can be built without magic.
Sofia [Rio's roommate] Can be met on the first day, on the way to visit monica. You can met her in the Library on the second day by going to the park. And you can she is more than willing to jump your bones a couple of encounters later no magic required. The key with Sofia is to be Fit enough to move the boxes when you meet her on the first day.
I give these two examples to show how the game has diversity of approaches. I am not claiming these two examples are the fastest or best approaches only that they work. Not casting spells is a bad idea because casting spells gives you experience and helps you grow in power, those two examples are not optimal.
The game allows secret mining and subconscious sculpting via orange lights, Purple lights for mind control, personality overrides and green lights can steal someone autonomy via a "devil" contract. Pink lights can cause character to be addicted to you. Brown lights make people into bimbos who grow to trust you in their bimbo state. Blue lights allow you to gather secrets by miniaturizing you. It seems only yellow and red lights have no options to control people but are mainly worth leveling for combat. However both lights can be use to manipulate situations to get girls to strip down a bit.
The whole point I am trying to make is there are almost no results that are narrowly defined and in fact most results can be obtained using multiple different approaches. I am in the habit of restarting the game from the defeat of titus, or the very start every 2nd update. Exploring different options I don't play every option possible as some lead to kinks like sharing I am not into. what it does do is allow me to change things up and enjoy the game. the game has enough content for this to work for me.