A question was asked. An answer was given. For the benefit of future readers, edits should only contain relevant information and corrections. Changing the question enough so that the answer becomes less irrelevantrelevant is discouraged. (Deletions may be appropriate, but will not be discussed in this post.)
As a further service, one can add to the question, or even better link to a new question, which asks the modified conjecture. Now there is a path which gives the readers the option to continue on the path of discovery or not. To muddle the signposts by changing the conjecture after it has been answered properly is not doing a service to the readers of this forum.
Edit 2016.04.13: If you have a contribution to make on part of the original question, even if it is only a literature reference where the (at present unanswered) part is discussed, that will fit nicely as a brief answer. If you have some additional material that might flesh out the part while not answering it, making a new question and editing the old question (and putting your initials near the link to show your emphasis) to link to the new question seems appropriate. Clarifying the path of discovery may be important to you and to some others, but it should not be presumed or made to appear that it is a motivation or path of the original poster. End Edit 2016.04.13.
Gerhard "It's Not All About You" Paseman, 2016.04.12.