In principle she could be dissembling, but the claim that the VA vanished her records is easy enough to verify if so. Let it go through the wash.
What exactly would the motivation be to vanish her records?
Does the VA have some sort of connection with the unit where the supposed rape took place?
This story, at least as presented, does not pass the smell test.
I am, of course, willing to be convinced otherwise, if evidence is presented, not just an article on the internet making wild claims.