It doesn't matter if A is the lowest note. It matters whether A is the tonal center. Ionian and Aeolian are culturally dominant because they possess a naturally-resolving tonal center. The forms of jazz and monastic music I spoke of feel odd to the Western ear because they do not resolve in the same way that Ionian or Aeolian resolve. In both jazz and monastic music this lack-of-resolution is intentional.
...Blues and Rock will often use a Mixolydian scale, but they are still Ionian (or Aeolian). Their center is the Ionian center, not the Mixolydian center.
Although musicians are often intrigued by modal music, the simple fact of the matter is that, for most purposes, learning modal music is pointless. It just isn't often used nowadays. It is arguably helpful to learn modal "scales," but what is usually happening is that one is learning the Ionian/Aeolian scale in different positions or with different fingerings, rather than learning modal scales proper. A more useful thing to learn is certain scales, such as Mixolydian (dominant 7), harmonic minor, melodic minor, etc., given that they can be more easily integrated into Western popular music as it currently exists.
The complexity also comes into the question itself:
If the key signature has one sharp and the mode is Dorian, then we are in the key of A (Dorian). The Ionian/Aeolian assumption is so deeply ground into the Western mind that we read key signatures with the assumption that the piece must be in one of these two modes. Generally one only consults the actual notes in order to determine whether the piece is major (Ionian) or minor (Aeolian). The assumption is that it must be one of these two.