A behavior that I would like in AS would be to if I were to search for "année" that "annee" would also be returned and the other way around, search for "annee" and get "année" in the results as well. Anyone who uses uses a language with accents will know that they are often overlooked in searches which would result in inaccurate results.
Your request is legitime and the ajaxSearch already partially works like this
For example try "année" and "annee" on my site
(feedbacks on travel books - site encoded in UTF-8). Is it in French, but you can see that the differences in the output of the search.
With "année" as searchstring you output the title of documents and the contents where the searchstring is found
With "annee" as searchstring you output only
the title of documents (even if annee is not in the title).
I will try to understand this behaviour and if possible improve it. But it’s not sure that i can do better.