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First off, let me say that I could not replicate results as they are reported by the OP here. The room specified did not yield a marked increase in Tonberry encounters, and indeed barely had any in it at all even after 45 minutes of continuous fighting. However, some more testing did yield some interesting results.
What seems virtually certain is that the Cavern of the Stolen Fayth (and many other areas as well, for that matter) is divided into several hidden subsections, which come with their own encounter pools. A rough estimate would be a division between "Front" and "Back", with certain monsters never appearing in the Front areas (Tonberry, Ghost, Defender X) while others may vary in frequency.
After some reasonably extensive (but certainly not exhaustive) testing, I have furthermore found indicators that there is also a division into "Rooms" and "Corridors", with certain encounters only occurring in one or the other, or, at the very least, with greatly different encounter frequencies. For example, it seemed very much like Tonberry only appears in Rooms, while Ghost only appears in Corridors (and, of course, neither will appear in the Front areas). Similarly, the constellation of Epaaj/Machina/Imp never occurred in Rooms but only in Corridors.
Using this knowledge it was indeed quite easy to catch 10 Tonberries, as simply staying in the final room (before the Chamber of the Fayth) would yield a regular rate of encounters with them. Indeed, I had 10 Tonberries well before I had 10 Ghosts, and Ghosts turned out to be the most difficult ones to catch.
While this may be some interesting information, I urge anyone to take it with a grain of salt. As mentioned, I have not done exhaustive, systematic testing, only 2.5-3 hours or so of grinding with the encounter boost on. Given the numbers involved, that is not enough for statistical evidence, and furthermore is still subject to a lot of bias effects that could skew the data significantly (if you can even call this data). Most specifically, there has always been a suspicion among people that encounters are distributed based upon certain seed variables that can be changed with a seed reset, meaning different encounter rates between loads. Whether or not that is really true or just a myth I cannot say, and did not set out to test (no reload/reset happened during my grind).
If anyone has more data and/or reports of systematic testing, that could perhaps be useful to people.
Stumbled across this while hunting the infamous Tonberries, someone else cited them in an area "off the map" right on the first fork. Ghosts do seem to spawn there infrequently, on my way to check the final room theory now.