You are absolutely correct!
In the case of fact, the "proofs" used can be called into question, which ususally lead to refutation and/or confirmation; but in either case, an advance in knowledge.
In the case of the "miracle"; it requires nothing but belief; it leads to no advance in knowledge and sometimes causes "difficulties" between the believer and the "non-believer".
I'll take fact.
Miracles are facts. Personally obseved by thousands of witnesses and historically recorded.