Maxim5,
Well it's certainly not desirable for it to work that way from an image perfection point of view. But it may not be an issue for you depending upon what you like to watch.
I suspect it's not a defect in the set -- just the way this particular display was designed to work. Someone else who actually has one of these might be able to confirm.
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Since you don't see the problem when connected via DVI you might want to reserve the DVI input for the source that you intend to view most critically. This could be your DVD player or, perhaps, an HDTV receiver. Or if all your sources offer DVI, you might want to invest in a DVI switch designed for home theater use. Both Gefen and Dtronics make these for instance and there are a pair of threads in the Power Buys forum discussing the successes and problems people have had with each.
As for setting black levels for the Component input, the purpose of the gray half screen in the Avia test screen for setting black levels is SPECIFICALLY to trigger any AGC that might be active in the display. Now usually you would expect the effect of AGC to apply uniformly across the screen but since that's not what's happening in your display the odds are you'll be better served by calibrating based on the darker portion of the moving bars you are getting towards the middle of the set.
If you go to the advanced tests on Avia for whites blacks and grays you'll find several different versions of this moving black bar test screen. One has the half screen gray used in the basic setup, another has a full black screen except for the moving bars, and another has a half screen at full white intensity. Because your eye will be more sensitive the less light the screen is putting out, the black bars would naturally be more distinct in the black screen, and less distinct in the white half screen. The gray half screen is thus a good compromise from that point of view as well.
But since you are seeing unusual effects, apparently from the AGC, you might want to check the range of Brightness settings you would get if you re-did the setting using each of those three screens and then try a compromise setting between them as a starting point. You will probably have to experiment with some Brightness settings while watching movies to see which really works best for you since the set is fighting you a bit.
Just be sure to double check that your Contrast setting is correct for each Brightness setting you try. When comparing while watching movies, change the PAIR of Contrast/Brightness values to give each setting the best chance of looking good.
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Another thought: It's possible that the degree of apparent AGC effect you are seeing may vary according to your Contrast setting. You might try an experiment with a significantly lower and/or higher Contrast setting to see if the degree of unevenness you are seeing between the top/bottom and middle of the moving black bars changes in any useful way. If it does, then that may help in your selection of the best Contrast setting.
--Bob