I looked at a number of Luisa Rebull's cases as well as some others. For the hue-perserving stretch to look good, the image values have to have some interesting color variation in an absolute sense. M101 is all green because the 12 micron emission is so dominant compared to 22 microns and 4.5 microns.
For a good-looking result, the images need to show the same population of sources. Any combination of the four WISE bands with extended dust emission will show stars as completely blue and will have very little blue contribution to the extended emission. I get much better results on images with extended emission with Herschel SPIRE 250, 350 and 500 micron images.
2MASS images give poor results because the background levels vary so much across the images.
As Jim noted, Bad background removal can't be helped much. The other strange-looking results could be helped by having a separate stretch / slope parameter for each of the three bands. It's possible to do this in the per-band mode by selecting "asinh" as the algorithm, with the only difference being that at high intensities you get "white" instead of the color of the object.