They may end up saying that only the “Pure Cambridge Edition” (of coursed, based on Oxford scholar Blayney’s work) from ca. 1900-1970 is a “true” and “inspired” King James Version, but with a little learning of the textual history of the KJV and a little logic (if the original translators made errors, whoops - but they’ll say they didn’t, except for spelling errors, etc.), showing a KJV w/ the Apocrypha is a good way to prick the bubble of some KJVOs.
Some more sophisticated KJVOs (Edward F Hills, David Otis Fuller, Dean Burgon, FHA Scrivener, Donald Waite*) have elaborate arguments for why the KJV translators translated the Apocrypha as books of history and not as inspired Scripture, mainly based on some statements out of the Thirty-Nine Articles, and the fact the Apocrypha translation team didn’t translate any of the protocanon, and the protocanon translation teams didn’t translate the Apocrypha.
However, the lines between the translation teams were not drawn sharply, and there were a few who helped on both deutero- and proto-canon (I believe Andrewes was one), and the oversight committee who put it all together (led also by Lancelot Andrewes) also worked on both.
*I realize it may be a bit improper to call Edward Hills or David Fuller “KJV only”. They’re not, the accuse it of having many errors but believe it is the best English translation, like the TBS, but many "KJV1611 Independent First Baptists Church"es use their arguments in any case.
Dean (John William) Burgon and FHA (Frederick Henry Ambrose) Scrivener were by no means KJV only - they wrote in an era where there were two versions, the KJV and the ERV/ASV, and defended the traditional text as opposed to the Westcott and Hort (which method also underlay modern Nestle-Aland texts) text and critical method. They believed the KJV was errant - FHA Scrivener was an elite textual critic, and a member of the Reviser’s Board for the ERV as a force of conservation and doing the mission given to the Revisers, of removing “clear and obvious errors”, but not creating a new Greek NT, but was overruled in debate by the forceful personality of Hort - but that the Critical Text, especially with all the artificial and false support W&H gave to it (“neutral text”, “Syrian recensions”) in their day to make it acceptable (it’s just presumed to be acceptable now, and no longer really defended) was far, far more erroneous.
Still, John Burgon and FHA Scrivener’s arguments sometimes are used by more sophisticated KJVOs today - it usually suffices to point out that they themselves were far from KJVO, but some will say they either didn’t know what use God would raise them to, or were in denial, or, plainly, were in error whenever they disagreed with the pastor of their church.
I have great sympathy for John Burgon and Scrivener (I own most of their books, which are very hard to find today), if one couldn’t tell.