I'd been running on the understanding that this was a more moderne text than Trotter was speculating. Mostly because quite a few of them around and many are uncut.
Well, upon further thought it makes sense to discuss which book title it is, as Stu and Aelfwine point out - the state of the pages (cut or uncut) of most extant copies likely comes into play.
To clarify my earlier comment - here is the end of the article (trimmed ever so slightly so the title of the piece is not immediately obvious), in case anyone is still enjoying the game and wants another hint for guessing.
It also seems quite possible to me that carefully cut copies of this may be rarer than the uncut ones.
I agree with your assessment, based on what I have observed over the years - so Urulókë can increase the rarity of his book simply by cutting it -- and he gets to read it, to boot!
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