True, outside of a miracle, likewise without the Jews the church would not exist, and the Gentiles and thus the "one new man" church would not have a true vine to be grafted into.
As for the debt,
like Tyndale's translation and the Geneva Bible, the Authorized Version was translated primarily from Greek, Hebrew and Aramaic texts, although with secondary reference both to the Latin Vulgate, and to more recent scholarly Latin versions; two books of the Apocrypha were translated from a Latin source. (https://en.wikipedia.org/wiki/King_James_Version#Translation)
Examination of the 1611 King James Bible clearly that its translators were influenced much more by the Geneva Bible, than by any other source. - http://www.greatsite.com/timeline-english-bible-history
Yet the KJV is quite close to the Douay–Rheims Bible, with some significant exceptions such as penance for repentance. /
“Yet the KJV is quite close to the Douay–Rheims Bible, with some significant exceptions such as penance for repentance.”
It is hardly surprising that the current Douay–Rheims Bible is close to the KJV, since the original Douay–Rheims Bible was one almost no one wanted to ever use.
“The New Testament was reprinted in 1600, 1621 and 1633. The Old Testament volumes were reprinted in 1635 but neither thereafter for another hundred years...Much of the text of the 1582/1610 bible employed a densely latinate vocabulary, to the extent of being in places unreadable. Consequently this translation was replaced by a revision undertaken by bishop Richard Challoner; the New Testament in three editions 1749, 1750, and 1752; the Old Testament (minus the Vulgate apocrypha), in 1750. Although retaining the title Douay–Rheims Bible, the Challoner revision was a new version, tending to take as its base text the King James Bible...”
https://en.wikipedia.org/wiki/Douay%E2%80%93Rheims_Bible
Since 1750, the Douay–Rheims Bible has largely been the KJV with Catholic theology inserted so the ‘faithful’ would not be ‘deceived’ into ‘error’ by reading what the Word of God actually says.