Yes, I recall that you've written on those differences between the churches. Another key unintended consequence would be the development of science based on the concept of God's "sovereignty" over nature, making for "laws of nature" that can be discovered. But these sorts of historical connections aren't the same as logical ones.

I'm reminded of the legal principle of the fruit of the forbidden tree. If a flawed (unconstitutional) process of discovery would taint the legal value of some evidence in a trial, the officers need to show that the evidence would have been discovered by a non-tainted process.

Likewise, just because some secular humanistic concepts happened to pass through Christianity in the West doesn't mean those concepts aren't independently discoverable. The history of modern philosophy is in fact an independent process of that rediscovery.