SaberFate
Do not underestimate the circulation of information in the Middle Ages. At that time, everyone already knew what firearms were and, moreover, they were actively using them. For example, even during the siege of Constantinople by Murad 2, firearms were used in a certain amount on both sides of the conflict. And the Uzun Hassan you mentioned directly asked Venice for it during the struggle against the Ottomans. Therefore, the universal "admiration" for firearms looks ridiculous.