However, Bonnie, the consequence of your preferred nomenclature is that in the scale of C there are the following modes: -

C to C = Ionian C
D to D = Dorian D
E to E = Phrygian E
F to F = Lydian F
G to G = Mixolydian G
A to A = Aeolian A
B to B = Lochrian B

I find that a bit illogical, and if a tune is called in "Myxolidian A" I'm going to find the second system more helpful.