Erm...what? The pilgrimage industry reached such a fever pitch in the Late Middle Ages that the Holy See could not keep up with verifying relics, many false claims were made, and the entire concept was tarnished with the concept of charlatanism. Toning down pilgrimages, saintly cults, and relics was one of the many tasks of the Tridentine Reforms on account of it being one of the chief fuels for the Protestant fire. Even so, relics are still important to Catholic and Orthodox Christians.Moreover, while relics were common and prominent in the Middle Ages, they’ve never had a place of centrality in Christianity
At any rate, sacred objects are part of every religion. What's Western-centric about the Exploration culture victory is that not every major religion is proselytizing, and not every proselytizing religion is equally proselytizing (Buddhism, Christianity, and Islam are pretty unique in their degree of proselytizing).