I think I spoke too soon.

Most think a Cmaj chord or a III chord is in the key of A minor, but not biab!
Biab wants a C#maj for a III chord in A minor.
The Fmaj or VI or 6 chord biab turns into a F#maj chord. ?
The Gmaj or VII or 7 chord biab turns into a G#maj chord. ?

The other chords agree. Does anybody know what is going on here? Why are not key of A minor chords like the below?

i – A minor, A minor seventh (Amin, Amin7)
iidim – B diminished, B minor seventh flat five (Bdim, Bm7b5)
III – C major, C major seventh (Cmaj, Cmaj7)
iv – D minor, D minor seventh (Dmin, Dmin7)
v – E minor, E minor seventh (Emin, Emin7)
VI – F major, F major seventh (Fmaj, Fmaj7)
VII – G major, G dominant seventh (Gmaj, G7)

Biab, Logic Pro, Mac