I think the Law of Equal but Opposite Advice is extremely relevant here, in that there are two common failure modes for practicing.
The first of these is "not practicing what you actually do", and turbocharging helps with that.
The second of these is "practicing what you actually do, but inefficiently", and deliberate practice helps with that.
Of course, trying too hard to avoid the first failure mode yields the second (e.g. playing a whole piano piece through repeatedly), and trying too hard to avoid the second failure mode yields the first (e.g. memorising Anki flashcards for a language, but being unable to speak it since you didn't practice talking).
For your first half-question, "A Technical Explanation of Technical Explanation" [Edit: added link] sums up the big deal; Bayes Theorem is part of what actually underpins how to make a map reflect the territory (given infinite compute) - it is a necessary component. In comparison with other necessary components required to do this (i.e. logic, math, other basic probability) I would conjecture that Bayes is only special in that it is 'often' the last piece of the puzzle that is assembled in someone's mind, and thus takes on psychological significance. ...
A solution by method of "Thrash with linear regression, then get bored". I also make the (completely unsubstantiated) claim that an even split of students across houses will lead to better results.
Humblescrumble gets A,B,E,R and T.
Dragonslayer gets D,G,H,K and N.
Thought-Talon gets C,F,L*,M and Q*.
Serpentyne gets I*,J*,O,P and S*.
(Students marked * get a slightly better linear score in another House, but I balance the sizes)