Relating to the first table. Bright mode, is easily the brightest, but as with almost all projectors, leaves a good bit to be desired in terms of color accuracy, with a yellow green emphasis.
REC 709 and Vivid seem to be basically the same mode with the difference being that REC 709 has Brilliant Color (BC) off, so it's not as bright, while Vivid, along with User 1 and 2, are the same 2051 (+/-) with BC on.
Game - is slightly on the cool side (a touch more blue, less red) but its not quite as bright as Vivid. Whether there's something about it that makes it more desirable for gaming, I don't know.
The REC 709 mode is a little on the warm side. While we didn't do a full calibration including calibrating each of the primary and secondary colors, Mike did do the grayscale. It very nicely cooled down, as you can see in the table.