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You're welcome, Quang.
That's very peculiar behavior, at least mine is. It's hard to imagine why the battery in the body would matter or why the scene would show up on the LCD and then quit, especially without releasing the shutter.
About the only thing I can think of is that the camera is constantly checking for battery level and condition during LV. The DSTE battery doesn't talk to the camera like the Nikon battery does and only shows the battery level. I have no idea how accurate the level would be, but I'd guess that it wouldn't be as accurate as the Nikon battery.
Regardless, this is good to find this out now, rather than when trying to do a shoot and have things go wonky.