Battle Class room = Shadow Rath Castle?

You mean theories? And there's nothing wrong with giving a guess...

Though, I am against categorizing them with Rath Castle Shadow missions. Maybe if there was a category for shadow missions taking place IN Shadow Rath Castle. But as the current category stands, it's all only the shadow missions one can receive in Tara's Shadow Mission board, and were released with G11 (I think), neither which applies to the tutorial shadow missions. It's probably better to separate those two into their own categories.

Theories isn't a real word. Theory is already plural. Theorem is singular.

That, I didn't know. Though I thought "theorem" referred to already-proven ideas.

The word you're supposed to be using is "hypothesis" actually... A theory is something already proven time and again.

Anyway, I don't think these should be considered shadow missions, and they should not be categorized there.

It is a shadow mission, if you selected it and go to any alter, you will be brought to the room.

Ah, right right, hypothesis. That sounds much better.

No, these are actually shadow missions, once one opens up their quest window they can see something like "Course 1 Class 2" or something like that, but I do remember it has the Shadow Mission mark on it.

Though, I really don't think you can go to it via an altar...as soon as you click the Beginner Training mission course, it warps you there.

You can say the same about the G15 boat rides. No they aren't in the Shadow Realm so they shouldn't be classified as Shadow Missions.