Oh wow, I never knew that. Thought it was just a classic Fire Emblem title. Might look out for it when I buy a Switch then. Any think even semi like Persona is a buy lol
So you teach the students and the level up in battles after?
That's right, You become a professor at a monastery where nobility from the three main nations on the continent send their heirs to train. You pick one of the three houses and then that becomes your squad. You set goals for them to train certain stats & abilities toward specific classes, hold lessons & teach one on one.
In between that, you can roam around the monastery, which works just like Inaba did in P4. You visit shops, complete social quests, talk to other students, meet with them for meals, cook together, have conversations over tea, etc. Between that and students helping each other in battle, They all build s-links with you and amongst each other, and there are multiple cut scenes you'll see for each of these relationships along the way. It goes way further than Persona does with it, because it's not only you, but they build between each of the students (like imagine if there was a parallel s-link progression between Yosuke & Chie, Chie & Yukiko etc.). You can even convince students to leave the other houses and join yours, and the developers put in relationships that develop between them and your students, so it feels natural that they're there.
You can choose to roam like that or undertake missions on weekends, building up your characters. Then at the end of the month there's a main story mission to progress the game which that month's story & dialogue has revolved around.
It was the game I got a Switch for and it's been worth it, there's an unbelievable amount of content.