I worry about “predictive” history classes being even more like indoctrination than current ones, if implemented with tests on obscure historical examples as you suggest. Explicitly teaching students about general historical lessons which extend to the future can easily turn into politics. There are strong incentives to pick and choose historical examples which generalize to the lessons the teacher or administration supports politically.
Current history classes at least have the strength that they teach students how to conduct research about known, factual questions. Even if they are only “studying to the test,” students usually have to spend some portion of time writing research papers which demonstrate an understanding, based on evidence, of some historical phenomenon. For students not interested in STEM, this is usually the only serious training they will get in searching for evidence and interpreting it.
Even now, with history classes mainly focused on learning banal facts, I notice students often try to write research papers that say what the teacher wants to hear. If the subject of their research was instead the more politicized question of “which general patterns are at play here and are useful for future prediction and decision-making” this guess-the-teacher’s-password effect could be supercharged.