I would pick fly, because being invisible is way too easy... consider staying at home 24/7 and not dealing with anyone... or being out in the public, but not able to manage personally; is such not the same effect of not being seen but yet forced to deal... Now if the option of fly is chosen then it might imply that such individuals may choose to be more agile both physically and mentally since such could be the most likely elements of such skills of flying...
Now of course every interpretation only means what you read into it it, but again labeling does help in the processes of determining the reasoning behind the choice in the first place but limits describing the full meaning of what is being described due to the fact that not every discipline can cover every word or phrase accurately without modifying meaning through adding more implied associations through analysis.
I guess it is possible to do both, however a third option was not given so does this constitute a false choice?
Or perhaps you just like fiction and wish you could save the word... not that such is a bad idea in concept.
This is a possible interpretation of your question...
Later,
.
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