I think you may get some problems with the word "appropriately retrievable" in the short definition. Who decides what appropriate means? Understandings as to what 'appropriately retrievable' means could vary wildly from group to group.
In the extended definition, do we use the term accessible in the broad sense of the information being out there to be discovered, with no barriers to that discovery? I suspect this is the case, but there is also issues of accessibility that come into play, which refer more to data being available in such a way that it accommodates different modes of access preferences or needs from individuals with perceptual disabilities. I have in mind here WICAG 2.0 accessibility considerations.
I would argue that for data to follow principles such as those eloquently captured in FAIR, the element of accessibility must be truly reflect accessibility for all, and not merely for the sighted.