So can you say how exactly did it matter?
I have in many places, I'm hardly quiet about it. But here we go again. This is brief since I'm at work, look up in many of the other massive China threads for more in depth summations of all these points and more.
Trade: The Silk road is a start here. But I'm not kidding. When there was a major crisis in China, like a famine, rebellion, whatever. Right around 2 years later, EVERY TIME there were economic reprecussions in England - that's almost irrefutable, a few times here and there is correlation, this is hard to deny causation . Why two years? We also know that's roughly how long it took for trade to cross that distance. Other nations along the trade routes had similar experiences in the time it took for the crisis to reach them. This is most prominent in Silver - the primary unit used for currency across Eurasia. And Europeans did seek it out, the Polos were hardly alone. They just had good marketting.
Diplomacy: whether the border states in Central Asia who had to deal with various dynasties of the era as well as other neighbors. Or things as broad as Popes and Frank Kings seeking alliances with the Yuan via the Il-Khanate (Or religious conversion). There were interactions. Yes, the distance caused some issues in the latter case, which the current 'too distant' reasoning is probably a perfect representation. The fact is, they were aware, and did try. Marco Polo was, as I said, not the first. We have John of Plano Carpini, just to name one expample of another emmissary, who happened to write a travel log as well (a super good one at that, it's translated and more interesting to me than Polo). And that's just Europe, interactions with India definitely happened.
Military: Yes. Military. Whether it be helping drive out nomadic groups that in turn went to Europe or when we get to the Yuan the actual militaries. Yes, this is the Mongols, but a strong Chinese state might ahve done similar. Had the Tang won at Talas, or truly recovered from An Lushan, it's not unlikely they would have extended their hegemony. Exiles from a the Liao founded Kara Khitai in Central Asia. But again, Tang and Arab conflict. This is not a hard 'what if' to theorize, it could have happened again. Easily. And 'what if' is a huge part of this game.