If you want to drag me into a KJV-only debate, don't bother.
I’m not the one seeking to disparage one of the greatest works of English literature that the world has ever seen, your fellows are.
There are a number of decent English translations of the Bible today. The KJV remains the gold standard of sheer linguistic skill and beauty, however.
I’ll note that you’ve not provided these purportedly Douay-Rheims derived passages from the KJV, and leave it at that.
I have wondered if both sides talked with each other.
The DR had some revisions that post date the KJV. I have older translations of both, and they are different in places but very similar in others.
Also remember the old KJV had the Apocrypha in it (or at least the version I have did). The similarities are not as close, but still made me wonder if they hadn’t been talking.