This sounds more like another condition, which is often misdiagnosed as Aspergers; I know, as I was told I might have it at one stage, though I believe otherwise, as my symptoms relate better towards AS (perhaps I have both, if that's possible).
The condition is called associative disorder, which is infamous amongst children living in orphanages. It's caused when the parent/s, or primary carer, of the child is rarely present in their day to day life (such as two working parents; leaving you to fend for yourself often), or if a child is grossly neglected, or unloved (simply inexperienced, or bad parenting).
While it's not always the case, sometimes the reason for the gross neglect, is because the primary carer of the child has Narcissistic Personality Disorder (which is the obvious case in this story, as her kidnapper is obviously very self-obsessed). The end result is a child that doesn't receive a proper upbringing, due to gross neglect, and so often appears 'odd' in social circumstances, and is unable to bond with others normally (either being too withdrawn, or too friendly - even in high risk situations), as they do not understand what is appropriate.
I was able to relate extremely well with Rapunzel in this movie, as I too believe my mother is the same with me. If you're interested, take a look at this article about a common detrimental relationship between daughters, and their Narcissistic Mothers:
Daughters of Narcissistic Mothers - Daughters of Narcissistic Mothers