Just a note, it would be less ambiguous to say the chords are a 6 minor and 2 minor since minor 6th and minor 2nd are both intervals that don't relate to those chord qualities, for example the minor 2nd is a semitone above the tonic note, whereas a 2 minor chord (or ii, since lowercase represents minor chords in roman numeral chordal analysis) starts a whole tone above the tonic. Also, I think you mean the iii chord, since the ii chord is much less common. But by that measure you may as well be teaching the bVII (flat 7 dominant), which shows up all over the place in popular music (https://www.hooktheory.com/theorytab/common-chord-progressio...). That said, I agree chordal analysis is quite useful as a beginning point, but mostly for teaching the instruments that, well... play chords.