Ok, this is interesting.
I have a couple of the 8 ohm GK Neo112-II cabs, which are (very very loosely) a similar design in that it's a 12 and a tweeter. I'm a firm believer that, at least within the realms of most typically sized 112 cabs, with the same head, the "loudness" will be pretty much subjectively perceived as the same between an 8 ohm cab and a 4 ohm cab (not to open another can tho). Add to that, the GK's are also not what I'd consider particularly mid-strong. More even through the mids, and if anything, some emphasis down low, which I think is what I'm getting from TC112 folks as well.
SO... given that, I'd typically predict the TC112 and the GK 112 to be more or less equivalent in "loudness", and the GK 112 is loud enough to very viably cover a Jazz combo gig with acoustic drums with the MB200. That's qualified with... as long as the drummer wasn't completely out of control anyway, but I typically find most Jazz drummers to be a lot more about finesse than slam/bang, so that's been a fairly safe bet in the past for me.
Anyone else with a TC112 do this comparison yet?
This is the problem. The Thunderchild is MUCH closer to the tone and performance of the 12/6 cab than a typical two way mid driver/tweeter design.
You are placing too much emphasis on wattage as it relates to perceived volume, versus being used to generate all that nice, deep low end EVENLY with the mids and treble. It is hard to understand how different these cabs are (Acme, EA VL210, 12/6 or 15/6 variants, etc.) versus the typical mid woofer executions with a tweeter only covering the upper treble.
The even, flat, relatively wide voicing of this type of cab puts them in an entirely different universe than even a high quality 'regular' 112 with a typical midrange woofer with 'normal' mechanical properties, and a crossover that is set (in most cases) closer to 3K than to 1K.
The little GK 112 will sound shockingly louder with the same head at the same master volume level. However, it will do so with much less real low end, much more of a spikey upper mid response, and there will still be a hole (by definition) between the top of the driver and the tweeter.
The magic of the Thunderchild is that, with a nice dose of watts (and Duke was nice enough to OEM a 4ohm version of the driver so that the typical 500 watt micro can drive it to full performance), the Thunderchild will actually get MUCH louder than the little GK112, with much more real low end, and virtually no compression (i.e., loss of low end) when you dig in and slap.
Think of this as more the 'next generation' of Acme or EA VL cab, versus a 112 with a PA horn.