Not the op but a medieval history nerd all the same.

Monasteries actually were kind of technological powerhouses in their day. Cistercians for instance transmitted technologies, forging techniques, farming and cultivation advances and medical knowledge across Europe because basically you had a sort of "franchise" where every church they made was built and run to a regimented standard. They had the study of latin and a sort of sign language that meant travelling monks could all understand each other and since travel was fairly dangerous and rare it facilitated the transmission of scientific and philosophical thought.

It was fairly common for monasteries to provide state of the art medical care for their time which was actually fairly sophisticated in basic exchange for experimentation, the honing and propagating the research. You see the lingering effect of this in our languages. Clock comes from the word for "bells" because the mechanisms were developed originally to automatically ring the tower bells at the monestaries. Gutenberg likely got his early education in the hopes of pursuing a religious career and yhe printing press was originally to copy bibles. Latin is so entangled with modern science because those systems have their origins in monastic studies that veiwed the study of "natural philosophy" as a sort of religious observance of God's creation.

Similar situations were actually happening in parallel in other places. Religions of various sorts held a very "glue of logistical and technological ties" role in the past. Like the Muslim faith was very key in the developments of maths. Astronomy, medicine, metalworking, farming, the skills required to produce art..you track these developments in the religious temple structures of the Aztecs, Buddhists , Taoists, the Babaloynians, Greek and Romans, Egyptians and so on. Secularism taking over that role is actually all told a very new development in the grand scheme.