I think as a school child, my rote memory was very good. My best academic subject was biology, which at that stage was all about memorising facts. When I went to university, I studied microbiology. In the first year, it was still like that, but as I got further on, it became less about memorising facts and more about working out stuff. I struggled as time went on, but managed to get my degree. I was rubbish at the lab work (microbiology calls for dexterity, which I lack and I didn't realise how bad I was until I was too far into the course), but I really enjoyed the lectures.
My (suspected Aspergers) daughter's learning to read just now. She doesn't appear to have a very good rote memory, which might explain why she has obsessions but doesn't learn loads of facts about them. She has a school book for 2 weeks and each night she reads it out loud. If she's relying on memory, she'll often subsitute a word for another. If she decides to actually read it, she can do it no problem. Give her a new word and she can work it out too. Incidentally, the boy next is the exact opposite. He remembers each book, word for word, but show him a new book and he can't do it and doesn't know how to begin working out what a word is. He has suspected dyspraxia and his mum has been told that he'll possibly be diagnosed as dyslexic later on.