Frankly I'm appalled at such an admission of unacceptable integrity.
Let he who is without sin, cast the first stone.
You're being a little sanctimonious here Beagle.

I lied to my instructor about getting lost on my first solo nav, I told him everything went fine.
I assume my students tell me the truth most of the time. the other times are the ones I'd like to know about.
In an ideal situation people do not make mistakes and they do not have the occasional brain freeze, on a solo nav ex or on a skill test.
However in reality they will make mistakes, they are students.
I think that we have the obligation as teachers, instructors or mentors to be aware of everything that occurs, seen or unseen. Told or untold.
The student will still learn from their mistake, GPS monitored or not.
Besides, the replacement value of the airplane is $250K, I think I have a right to know what is going on.