Until they demonstrate some understanding of the relationship between braking - turn in - throttle application - apex - drive out, I spend the first few laps with a new student going over a pretty standard late-apex safety line. It varies a bit depending on the vehicle type and experience level, but it skews later than the fast track day or TT line, and doesn't take defense of line into account.
I'll have them run that line for the whole session and will begin to move the apexes back on the basis of how much real estate they're using on turn exit.
The M3 I was doing track events and TTs w/ before going racing had an understeer problem that I eventually fixed not through suspension settings, but apex placement. I raced motorcycles for years - 1000s of laps of Summit Point in a low HP bike on Michelin GP slicks. I'm still unlearning that line, and its one of minimal braking and early, early turn in. Contrast that with what a season in a Radical on Hoosier bias ply slicks taught me and it's ~completely~ different.
At the last race of the season in the Radical, I was trying to find a way off of the lap time plateau I'd been on since mid-season. I realized I was ignoring some of my most common advice I dispense as an instructor; to go out with fresh open eyes and discard whatever line you've been doing. use what you've learned to place the car where it should be going, not ~where you've been going~.
In Friday practice I went out and tried to pretend I'd never been to Summit Point before. I realized I'd been turning in WAY early in T1, and that by moving my turn in later I was able to push my already pretty good brake marker even deeper. and the new later apex was resulting in excellent drives to T3 to the degree that I needed to reassess my braking there. I moved the apexes forward in 4 and 10 as well, and by the end of the weekend had gone from doing high 1'19"s to a 17" flat.
I think it's easier to figure it out on track as opposed to in an autocross due to the repetition and the speed. The Radical is an aero car, so carrying speed definitely helps grip in a major way in the fast bits (and it slightly terrifying to learn that when it doesn't stick, the cure is to go faster - sometimes) but in AX you're juggling speed over distance and have to suss out when it's advantageous to trim distance in favor of carrying as much speed as possible.
I'm going to try AX again this season to see if racing has made me any better at it. My suspicion is that it hasn't.