The way to "habituate yourself" to what music sounds like is to stop reading about it and start listening to it.
BTW there is nothing specifically "Hungarian" about this. Composers in the Renaissance period didn't consider clashes between simultaneous ascending and descending melodic minor scales to be anything extraordinary. There are dozens of examples like this one, by Byrd (first published in 1591):
You should perhaps be aware what this material by Greenberg actually is. It was commissioned by a for-profit company, whose target audience for selling DVDs of lectures was "older professionals and retirees" looking for infotainment - because that is the audience who have the money to make the company annual profits of around $150m from marketing such products.
Maybe the target audience is impressed by strings of academic qualifications, but don't fool yourself that this material is the direct product of academic research, nor is it intended as educational material for music students. The content is specified by the publishers, not by the authors.
Judging by the authorship of their best-selling music videos, Mr Greenberg seems to be doing pretty well from the deal: https://www.thegreatcourses.com/courses/category/music