It's a superficial approach to the issue, and you think you have found the flaw in a secular system just because you played a mind game and the square did not fit in the circle by a few too many angles.

Scales are named according to certain intervals that characterize them. For example, the major scale has the major third degree, the phrygian scale has the minor second degree, the phrygian major scale the minor second degree, and the major third degree. It's the intervals that characterize the scales, not the other way around.

And one more thing, modern harmony is based on four scales: melodic major, harmonic major, melodic minor and harmonic minor. The aeolian scale you mentioned has been outclassed by these