Can the SSD from a 2013 Macbook Air work with an adapter in a PC?
Try to call or write OWC, I know thier SSD for macbook airs works good so I think thier adaptor work fine aswell. But you have a 2013 and they only sell SSD for pre-2012 Airs, so maybe there is a change in the newest SSD that they does not support yet.

My advice, contact OWC before ordering any.