It's complicated issue, made even more confusing by the fact that there are different implementations of DVI connection.
BTB and WTW issue is related to video level used by source and "expected" by display. In US standard video signal's black level is IRE 16 and white is 235, leaving space (0 - 16, and 235 -254) for BELOW black and ABOVE white information. In properly mastered material there should be NO useful information in those areas, therefore lack of BTB and WTW does NOT necessary mean lower quality. Test patterns use those ranges to aid in finding the settings of display where below black and above white fields are invisible, but fields above black, and below white are just so, therefore establishing proper scale for display.
Colorspace is the way colors are encoded in numerical values in digital format. Unfortunately there is more than one standard... Mixing them up can create unwanted color effects in the image (do the search here for colorspace, there is tread with nice examples; it's not end of the world problem, but it is visible, specially if you have well calibrated system and you know what to look for).
Output devices are capable of adjusting both video level and color space of their output, but they have to know what's needed... And that's where the problem lies...
Theoretically, each digital connection (both HDMI and DVI) contains EDID feature, providing all sorts of info to the connected device, which then should be able to accommodate it's "partner" in delivering optimized signal. In real life of course things not always happen as they should, leading to unwanted results.
From practical purposes, you will have to try and see for yourself - you may be lucky in the sense that DVI connector in your display works effectively as HDMI, therefore you won't have any problems, or you may stumble into color space issue. (BTB/WTW is not that critical, as I explained before).
I specifically left "black/white crush" issue as last one, since it is even more confusing...
The term generally describes situation where display will not show properly subtle shades of very dark and very light areas. It may be consequence of miscalibration (generally of display, sine source components rarely provide those adjustments), or bad design...
First thing to do in resolving this issue is to at least check your display using test patterns (ideal would be calibrated test generator) and find out if your display can be adjusted (does it sound like ISF calibration? Yes, it does - HIGHLY RECOMMENDED!). If you know that your display is OK, and you still have the problem, it's next step: calibrating your display to your source... This way, unless either one has "built-in" problem, you will have perfectly calibrated combo...
As specifically A2 goes, there are early reports, that it does NOT respond correctly to requests from displays, therefore often delivering wrong signals... Now, A1 on the other hand, has that ability, I use it with LumagenHDP Video Processor, and at the request from VP, it delivers proper colorspace and video level signal, leading to absolutely stunning image...
I just hope for all of consumers using DVI connections, that Toshiba not only corrects this potential A2's bug, but solves the problem once and for all providing manual software override for those settings...
That's what we really need!
Did I confuse you enough

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