Does it improve a multiple choice question to edit out the answer choices? No. It removes some context, that the poster is asking a multiple choice problem, and removing context is bad however much it may help disguise the poster's expectations of getting someone to do their exercise.
Having the form of a multiple choice problem will not prevent the poster from giving more of an account of their thoughts. If you can succeed in getting the poster to provide more context, it will likely improve the content from the Math.SE perspective.
There may be some useful observations to be made about the multiple choice parts of a Question. Are there some choices that we can dismiss "by inspection"? Such observations may well rise to the level of a good Answer, or at least be the subject of some helpful Comments.
While critiques of Questions that lack context are often framed in terms like "problem statement question" (PSQ), the objection is ordinarily not that the problem is being stated, but that there is a lack of problem digestion in evidence.
New users are often under a mistaken impression that the more precisely they can repeat a problem, the better the chance of getting a timely Answer. In fact this overlooks the importance of conveying where the poster got stuck. If there is an opportunity for teaching, many Readers will respond with help. But seizing that opportunity will often depend on the user's disclosure of what "is difficult" for them with an assignment.
So when a new-ish user posts a multiple choice Question, I'd take it as an opportunity to ask which if any of the choices they are able to discard (and why).