As you can see in this chart, Cinema overall, post calibration, provides a slightly tighter temperature range, but both stay within 300K from 20 IRE all the way to 100 IRE. Overall, the Cinema mode came out, on average, closer to the 6500K target. Still, consider both calibrations very good as far as greyscale balance goes.
Here you can see the post calibration CIE charts for both Cinema and Bright Cinema:
Post Calibration CIE chart, for Cinema mode shows significantly more accurate results than pre-calibration
Bright Cinema Mode - post calibration
Now let's look at the RGB balance of Cinema, before and after calibration. The difference is rather visible:
Pre-Calibration Cinema mode shows a significant tendency for the brighter ranges to be cooler, - more blue, and overall, green to be a little light.
Now look at post calibration, by comparison, the RGB balance is almost dead on the money:
Post Calibration Red, Green, and Blue are almost consistently within 3-4% of each other across the entire range. Few projectors will do much better than that.