Why not call a Mixte frame what it really is, a Cross frame (no not cyclocross).
this link explains it better:
http://www.rijwiel.net/
at the bottom of the page is a link to different types of cross frames and the mixte is distinctly mentioned in this context.
In my opinion the Automoto is a womens frame and that and $1.97 will get you coffee at starbucks.
Marty Eison
Frisco, Texas