One thing in Jordi Gallego's page that is suspect is the suggestion that including an image with noticeable defects (tracking failure, in his case) can improve results of the integrated image. True, it may increase the estimated-noise-reduction (ENR) metric, but that metric is base on the areas free of signal (at least as free as can be). Those areas are just noise, so ENR improves by providing more samples of the background. But signal may be distorted and contrast within signal-containing regions may be reduced, as may the sharpness of the signal-background interface, when flawed images are included. ENR does not speak to those issues. At least that 's my read of the ImageIntegration documentation.
I did take a look at a set of data that had about 20 'quality' images and another 10 with poor tracking, poor focus (light clouds?), etc. The ImageIntegration of the ensemble of all had a higher ENR than did quality images alone (after optimizing both), but the ensemble had obviously less definition of fine structure than did the 20 best.
Alex