[@Scio]
I really hate to say this but it actually doesn't at all.
It mostly just sounds arbitrary and excessively complex and sort of reminds me of Turn A Gundam. Or Arcanum but instead of going both ways and having mundane things mess up magic too you've made it a one way street.

If I can offer a suggestion I'd say it might be a better idea to stop trying to explain this with soft sciences like that. Maybe do it like Arcanum, and have relatively complex technological devices dampen magic, too. That way you can still justify your mountain hermit Hogwarts by simply saying complex devices are banned due to interfering with the student's development. It would also explain how magicians still face persecution despite having a population of something like a billion people worldwide, since the proliferation of common everyday electronics and the like has made them as a whole exceedingly weak and a lot harder to notice. Kind of a two birds with one stone, right?