Not just a very slight oversaturation of red, but a very slight oversaturation of the blue channel as well. You can see the very slight increase of blue within the whites of the eyeballs. I think I also notice a slightly more red and more purple coat as well.
I’m using a Samsug Galaxy Tab S3 tablet having one of the nicer displays.
These over-saturation issues are always fun to detect, similar to working a word find puzzle. (And then I usually remember I’m using a night time blue channel remover for viewing my display at night time. And I just realized I’m using it now too!)
Upon switching off my blue-filter, I can also see a very very slight increase in the green channel. On the top photo, I see definite green shades between the two heads and the leaf to left of the baby’s head. On the photo with more normal colors, those same areas have much much darker shades of green.
Remember, photos will contain varying levels of channels of colors, making hunting for oversaturation even funner!
I believe the RawTherapee manual suggests using the ProPhoto color profile for the working color profile, and then saving/exporting to sRGB color space. Exporting to AdobeRGB only if you have hardware supporting AdobeRGB, such as a high-end printer. More likely, since you have a wife likely using the photos, sRGB will be best.