I really appreciate this. It provides some great things to think about when practicing improvisation on your instrument. However, I also wish the actual names of the modes were used 100% of the time instead of just referring to them as "minor" and "major".

If you can assume - as you said in a comment - that all "minors" are Dorian and all "majors" are Mixolydian then I guess that clears it up, but it also raises some other questions. For example, when you see a MODIII jam like the 8/1 Tweezer going from what you call Amin to Cmaj it seems more plausible that this would be a move from Aeolian to Ionian (relatives), and not from Dorian to Mixolydian since C-Mixolydian (C-D-E-F-G-A-Bb) would use a different set of notes than A-Dorian (A-B-C-D-E-F#-G).