I can't speak for other Aspies, but my memory is exceptionally verbatim and accurate. I don't make this claim lightly. I do have a photographic type of memory and I have been tested as having superior memory as well. It has been commented on by people, including employers, how accurately I recall things. Like most, if not all Aspies, I also do not embellish or exaggerate so my memory does not remember things in the way it would like them to have happened or for additional effect, it is factual.
This is one of my biggest frustrations, when I realised that other people don't have the same type of memory and they can't recall things I can recall vividly. I don't believe I am alone in this trait.
For instance, I vividly recall particular instances of me having food issues as a child, and my mother cannot recall any issues with food at all. I remember being made to sit for hours at the table because I didn't want to eat stuff. I remember violently throwing up at age 7 at having to eat spaghetti with slithery onions in it.
My mother claims not to recall my special interest of reading, however she admits without realising that she's saying the same thing in another way, that I loved reading and loved my books. She claimed I played well with other children, but then in another sentence claims that I was always playing with my brother only and didn't have any friends that she can recall. She tries to deny any signs of Asperger's but accidentally lets slip things when she doesn't realise they are relevant behaviours. She claims overall that there were no problems, because she either had low awareness of things that were problems, or has a delightfully selective memory (there are other issues causing her to believe everything was OK I could name too).
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*Truth fears no trial*
DX AS & both daughters on the autistic spectrum