Something I noticed in the new version:
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In previous versions, there was no school for all of July and August, but now we're stuck in school through July.
Oh well. Not that it really matters that much, but school days can be rather tedious.
I feel the school system, if you want to call it that, is in even greater need of overhaul than the combat. In my playthroughs so far, I generally became an A* student first thing. There's various driving forces for this, like the projects / stage play and the gameplay improvements tied to being good at school (shortcuts, combat action efficiency etc).
But it is easy to become good at school, and at that point even going to school becomes godawfully boring. Cause every day there is almost exactly like the one before, and there are far too few events tied to school performance and progression in general. You've seen most of it countless times after your first term and almost all of it after the second.
Some things that could be done would be for the school days to be more varied, i.e. with not exactly the same subjects in the same order every day.
There could be additional subjects like normal sports, housekeeping, religion tieing in to purity, something related to speech (seduction) ... just to name a few.
The player could start more varied (not with an F in everything).
Every lesson could only have a single stance choice, with an option to skip even that, setting a stance for the day. On some days, this could result in the game skipping the school day entirely, describing it as uneventful.
Progression to better marks could be a more rare option, for example at the end of the term, but then with the option to reach every mark, not just the next better one.
And, of course, there could be many more events and possibly some other named students, but that would of course potentially be more work than the things I mentioned above combined.
Anyway, I have to admit that I don't think I ever played much longer than a handful of school terms. At that point, you've likely seen most of what the game has to offer, are super skilled in everything you want to be skilled in and have thus run into the second major flaw the game has in my book - no real endgame / endings.