A few remarks that may or may not be relevant to your situation.
I always develop sheet film in trays, one sheet at a time (unless it's just a technical test). I no longer use those Paterson style trays with the deep groves in the bottom, because I saw evidence that the design contributed to problems related to currents generated in the tray. Now, I only use Yankee type trays with shallow ribs on the bottom to keep film barely lifted off the bottom of the tray. (There are also flat bottomed trays by Cescolite, but you'd have to presoak film before using one of those trays for developer, or there's significant potential for the film to stick to the bottom)
I use Thornton 2-Bath often with sheet films and I have never had any kind of uneven development like what Chuck is seeing. I am skeptical that BTTB alone is responsible for the defects he got. In Bath A I agitate much like I would for any other developer: 30 seconds continuous at first and 5 seconds every 30 seconds. I am not gentle when agitating film in trays - I tip the tray alternating between left/right to top/bottom, and it's with enough force that I am at risk of sloshing developer out of the tray. Perhaps Chuck needs to try again and be more aggressive with agitation.
I do agitate through Bath B. I believe you do risk uneven development if you don't (with sheet film). I agitate for the first ten seconds, and then two rocks of the tray every 30 seconds. The only real (perceived) benefit of zero agitation in Bath B is a bit more edge effect to create acutance. I bet the difference in acutance is very, VERY minor, so you're potentially creating more problems than you solve if you opt for no agitation in B. That's just what my experience tells me, anyway, FWIW.
Question: how much film have you run through your A and B developer between refreshes? I tend to err on the side of caution with this developer, rarely processing more than 5 rolls of 120 or 5 sheets of 8x10 before dumping the chemistry and starting fresh. BTTB is so cheap to make that you can easily make fresh often, to avoid any problems with exhaustion or developer carryover. (Bath B accumulates Metol/sulfite and becomes more and more active)
I feel quite certain that Chuck's unevenness problem is entirely a technique issue. Maybe it's 2 or more issues compounding (wrong tray type + insufficient agitation?). I would do more tests and work to eliminate the potential contributors. I definitely feel that a divided developer has something to offer the photographer in certain situations (Like when some compression of the value scale is needed, but without losing value separation in parts of the curve) but there is some potential to get poor results without finessing the technique to fit your work habits. I firmly believe that the problem can be resolved once the responsible factor(s) is eliminated. I find Thornton 2-Bath to be a very useful tool in my darkroom vocabulary, and for me, it's been mostly trouble free and effortless, and the results well worth it.
I'm sorry I completely forgot to come back to your post...........I think it was when my brain was fried trying to navigate Koraks' inquiries..........just kidding, it was fruitful exchange for me. And I've seen those still life images before, those are nice.
I do use those Patterson trays that have the deep grooves on the bottom. The last Yankee trays I owned were 11x14 and were so flimsy, especially with liquid in them when lifting to pour. I find it very interesting that you are developing in trays and not experiencing any unevenness issues. Are you developing 4x5 in 5x7 trays or bigger 8x10 trays?
I think you are definitely right in that I need more vigorous agitation in the tray if I should try it again, I think that would be much easier to do in an 8x10 tray instead of the 5x7.
I'm skeptical of the edge effect/accutance idea behind the reason for no agitation in the B bath. This is the stuff running through my head on the subject:
Seems that no B bath agitation must be for this reason: It's more to do with the building up of the shadow densities while sitting in the B bath as the high value development is ended or coming to and end after the film has been in the A bath. This appears to be why, it is suggested, that with the two-solution process, your preferred shadow placement should be placed one zone higher than usual....to put more exposure in the preferred shadow(s).
Then, let the extra exposure that hits the preferred highlight develop without building too much density from carryover developer from bath A, as it will come to an end in bath B, giving that compensating effect...............meanwhile, as the film 'sits' in bath B alkali, the alkali reinforces the development of the extra exposure that was given to the preferred shadow(s).
So the problem I'm having is the uneven development noticeable in that continuous tone area of the negative. Yet...............the apparent the correction for that unevenness that works with my two-bath tank development, is to introduce agitation to the B bath, to keep the unevenness curse off the negative............that is, when there will be open skies and other continuous tone areas, like on my living room wall. I suspect that in a high contrast sun/shade forested environment that it simply won't matter if some uneven development occurs (tank or tray), you won't be able to see it.
Thanks for the observations and inputs.