[@RoflsMazoy] I'm pretty sure most largely knowledge-based fields end up being like that to a certain extent. Highschool tends to teach things that are for the most part correct but it definitely tends to simplify concepts and it can take a bit to adjust to proper methodologies and all the rules that you weren't told about or else the exceptions to the ones you were taught about. Using a similar analogy to yours, there is a very similar complexity jump between highschool biology and university biology. 

I'm not actually sure if one could expect the same degree in development as seen in computer. Time frame wise yes they're only 20 years apart but you'd also need to take in complexity and how well they build off existing fields. Computer hardware for example while substantially different from physics still builds off of physics in terms of its basic function. On the other hand, I'm pretty sure each of the example schools violates a modern understanding of physics in some way. Then again, that's ignoring the yokai which already had arts to study so maybe that equalises things. 

I've also been assuming here that the Yokai didn't really have knowledge of the scientific method and arts were developed through trial, error and extrapolation from observations kind of like how alchemists are thought to have made most of their discoveries or how I assume martial artists developed and refined their skills. 

One last question for the time being. Too what extent is culture and society in this setting different from real modern world culture?