That points to a bad system, but one that has nothing to do with the modern world we live in, and which if applied by analogy will fit so poorly as to be a bad analogy.
Also the Church conducted scientific experiments regularly, since a number of priests through the ages were scientists, and it was a result of priests taking observations in later, better telescopes that updated the Church's position on heliocentrism.
That aside, individual priest carried out their experiments, not in the name of the Church. The Church had already leaned towards scholarship by this time (post-Bologna) and being the dominant component of all European cultures, it only made sense that it would attract people with interests in science and experiments. (By the time we had scientist-priests people didn't know why they were Christians, to begin with.) This is discounting roles in Church or its bodies—usually monasteries—that required a vow to dumbness.
What do you mean?