There is nothing to suggest that those many scholars who combined to produce the King James Version ever claimed to have produced divinely inspired, inerrant work. The background of events that led to the KJV is known, and this of itself mitigates against such a claim.
Even by the time of the end of Queen Elizabeth’s reign, Parliament spoke of the need to reduce the diversity of Bibles in the English tongue. Later, John Reynolds, a Puritan and president of Corpus Christi College, Oxford, petitioned the King to consider a new translation of the Bible. This was because there were many translations on the go; so many, in fact, that they were confusing and an embarrassment. The proposed new version would seek to incorporate the best bits from the best ones.
The first printed Bible in English was Tyndale’s Bible (1525), only lightly edited by Miles Coverdale for his 1539 ‘Great Bible’. The Geneva Bible (1560) became the most influential until the KJV which took Tyndale’s Bible and the Great Bible as its basis, as did the Bishops’ Bible of 1568. Even the Douay-Rheims NT of 1582, a Roman Catholic version, used Tyndale. The fact that 80% of Tyndale’s much earlier translation work was incorporated into the KJV shows that any claims of ‘inspired, inerrant work’ would have had to attribute Tyndale with such an accolade. But that never happened.
The scholars are known, and they were divided into six committees, assigned to various aspects of the translation work. Fifty-four were initially given the task, though deaths and illnesses culled their number to about forty-seven active translators. One of them, Myles Smyth, wrote the preface for the KJV, the full text of which is in my KJV. The Trinitarian Bible Society prefaces it by saying, “The text of this Preface is taken from F.H. Scrivener’s 1873 Cambridge Paragraph Bible.” Here are some extracts from it, regarding claims of the translators, starting with a bit near the end of the heading, ‘The praise of the Holy Scriptures’:
“[The Bible is] a fountain of most pure water springing up into
everlasting life. And what marvel? The original thereof being from
heaven, not from earth; the author being God, not man; the inditer,
the Holy Spirit, not the wit of the Apostles or Prophets; the penmen,
such as were sanctified from the womb, and endued with a principal
portion of God’s Spirit…” Note that it is only the original text
spoken of, not any translations.
Under the heading, ‘The purpose of the Translators’ he explains,
“Truly, good Christian Reader, we never thought from the beginning
that we should need to make a new translation, nor yet to make of a
bad one a good one; but to make a good one better, or out of many good
ones one principal good one, not justly to be excepted against; that
hath been our endeavour, that our mark. To that purpose there were
many chosen, that were greater in other men’s eyes than in their own,
and that sought the truth rather than their own praise… And in what
sort did these assemble? In the trust of their own knowledge, or of
their sharpness of wit, or deepness of judgment, as it were in an arm
of flesh? At no hand. They trusted in him that hath the key of David,
opening, and no man shutting; they prayed to the Lord… If you ask what
they had before them, truly it was the Hebrew text of the Old
Testament, the Greek of the New… the work hath not been huddled up in
seventy two days [a reference to the LXX Greek translation of the
Hebrew NT, tradition saying that it was done in 72 days] but hath
cost the workmen, as light as it seemeth, the pains of twice seven
times seventy two days, and more… neither did we disdain to revise
that which he had done, and to bring back to the anvil that which we
had hammered: but having and using as great helps as were needful, and
fearing no reproach for slowness, nor coveting praise for expedition,
we have at the length, through the good hand of the Lord upon us,
brought the work to that pass that you see.”
Note how the translators sought to improve on what had gone before by combining the many good points of various translations and by consulting the original language texts? They trusted in the Lord, praying for his enabling, taking as much time as was needed, revising what needed to be corrected, and crediting God with his good hand upon them. At no point did they claim they were Holy Spirit inspired; they restricted that for the original texts (none of those autographs being available back then, or now.)
Sources: Melvin Bragg, "The Book of Books - the radical impact of the King James Bible 1611-2011", chapter 4.
Preface to the KJV.