I open this debate to some source of accurate information regarding quotes or accurate stadistics of books and knowledge, but I therefore will answer: I assume you are taking into account the middle east crusades, and ironic enough the failed crusade the one that didn't got to the middle east was probably by far the most "enlightened" to Europe and Renaissance. Your question is fairly pointing to the upcoming of the Renaisance in Europe since mostly this happened due to the rich of the italian states + books and culture renaisance of the ancient times + new konwledge(from arabs and india), and most of this books and culture spread came from arabic sources or middle east.

There were four big Crusades to the middle east, to the Holy Land, they did bring merchants, not much, mostly from south of france and italy (where the crusades embarked) that were trying to get more cheap easy access to the silk route. Although by the time the arab world was in huge turmoil with civil war after civil war, and also the holy land itself wasn't a place of knowledge at all as Alexandria, Bagdad, Cairo, or Damascus.

But you are not asking for a direct role and there is the perfect answer: the crusades did manage to make two things happened that bolstered the renaisance and made all that arabic math, philosophy get into Europe.

The first one was going to the crusades, most of the crusaders from the four big crusades were from central europe and france(northern france) and they weren't great at shipbuilding, stating that the sea route was fair easier and cheaper and shorter than the land route to Jerusalem. So when they reach south they asked the italians and some from provence (south of france) that were expert traders therefore great ship builders to take them to middle east in exchange of payment, this not only made a huge influx and dinamisation of money influx to the italian states but also cause they couldn't pay in advance it create the first banking in europe. This states were the next to finance and strive in getting the arab knowledge and books into europe.

The second and most important thing was the ironic fourth crusade: the crusaders went to venice for the classical shipping to middle east, and they went into huge debt to pay them. So in the middle they stopped by byzantium cause (oh surprise) it was a dynastic struggle and the despose basileus offered the crusaders to pay their debt if they helped him reclaim the throne which they did.But the basileus didn't had enough money to pay them, so instead of conquering the infidel muslims they finished attacking and sacking one of the two greatest cities for christendom (jesus..literally). Before that the Byzantines were still the big traders, and knowledge keepers of the christendom holding a lot of ancient roman, and arabic texts and books within them. The crusaders not only doomed their empire to ruin ending their monopoly on trade and also pillaged constantinople for anything to pay their debt to the venetians(whom then spread this "reborn" texts to europe). And now as the byzantines didn't rule the eastern mediterranean any more, the italians would have to make new contacts in the arab world to trade.

So by making the italians rich and reconecting them with the eastern mediterranean in trade, and also by destroying the byzantine empire hence making italy more important in commerce and giving them all they found in constantinople (that was a lot of art and books), they made possible the spread of math and philosphy from the arabic world to europe.