They could at least factor it in selectively, in obvious situations. For example, all categories in jeopardy that contain a quoted string include that string in all of the answers. Wouldn't be too hard to use that information.
edit: furthermore, sometimes it's impossible to narrow down the answer if you don't understand the category. For example, if the category is '"C" you later' or something, there might be like 8 possible synonyms that fit, but only one starts with a "C".
This is a significant disadvantage for some categories. For example one category from Friday was "WARE"-ING with each question containing "ware" in the response.
After typing out this comment it occurs to me that if you carefully consider each answer there is only only logical question for all the answers in this category. Although I don't have any specific examples, there are times when a question is ruled incorrect because of the category name (e.g The category called for a specific number of letters in the response).
I would have to disagree. Every bit of information helps. I was even surprised that they didn't implement a voice to text system so that he could learn what the other contestable guessed incorrectly and utilize that information if only to not guess the same thing on his turn.
They have added this. This was actually a problem in earlier versions where it would sometimes guess the exact same wrong answer as a previous contestant.