A distinction without a difference. Almost all members of the scientific establishment of the time were churchmen.
The point is, the theologians were very favorable to Galileo’s heliocentric model, it was the Aristotelian/Ptolemaic science establishment that was vehemently opposed to Galileo, and pulled out all the stops to destroy him. Of course, Galileo’s arrogance didn’t help much either.
“Almost all members of the scientific establishment of the time were churchmen”.
Hasn’t changed much, only now it’s the church of all things unintelligent and undesigned, no God, no way.
Thanks to the ACLU, NEA, algore and other liberals, science suffers more than ever. Just like any and everything else they touch.