The KJV translators were not KJV-Only

 On Foundations of the KJV^[1]

“The KJV translators were not KJV-Only. They would most definitely support the work of later translators building on their foundation and being helped by their labors. They themselves used multiple Bible translations as a basis for their work. They used the Bishops’ Bible as their formal basis, marking up large, unbound copies of it made just for this purpose… Far from seeing other Bible translations as threatening or suspect or even simply needless, they saw them as valuable assets. They built on the good work of those that had gone before.”

From Authorized: The Use & Misuse of the King James Bible

On Priority of the KJV (1900)

“There has been a great ignorance of the fact that a final purification took place in the history of the King James Bible. Those who have studied the history of the King James Bible in depth would have been aware of the major purifications that took place, such as the editions of 1629, 1638 and 1769. There was also a proper purification that took place circa 1900, which has resulted in the final text of the King James Bible, which is in all ways the definitive presentation of the King James Bible, and should not be altered.”

From Pure Cambridge Edition (bibleprotector.com, retrieved on 10/13/2020)

”… there are weighty reasons for rejecting the claims of the proponents of the so-called Pure Cambridge Edition: they are contrary to Scripture, contrary to plain reason and contrary to historical testimony. In addition, an examination of the text itself of the so-called Pure Cambridge Edition reveals that, even by their own standards, it cannot be the ‘correct, perfect and final’ text as alleged by its proponents.”

From “The Doctrine of Holy Scripture and the Pure Cambridge Edition,” TBS Quarterly Record, Issue 603 (2013): 17.

 

Conclusion:

The "King James Only" movement, which asserts that the KJV is the only legitimate English translation of the Bible, developed much later. The original translators did not share this view; they were focused on creating a reliable translation based on the best available manuscripts and their collective expertise.

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^[1] Jessica Parks. 2022. “King James Version, 1900.” In Major English Bible Translations. Faithlife Biblical and Theological Lists. Bellingham, WA: Faithlife.