To me the answer is "yes." But apparently it's in the eye of the beholder, and it depends on how you define "cured."
Some people (a small %-age?) never recover.
Others recover but they can't go back to eating whatever they want, whenever they want, in whatever quantities they want. (some define that as "not cured")
Some people recover and go back to eating whatever, whenever.
If you really do have a candida problem, adhering to some kind of diet is unavoidable if you're going to get better.