I’d like to mention another important point besides the lenses and color temperature characteristics. Na Horuk already set a hint on this.
Subjects can only reflect the light spectrum available. So it depends on the light source what colors the camera can record. This is a general issue.
A simple experiment: use a cheap LED light source and prevent the scenery from other light sources. Take a photograph of a subject of different colors, by example a book shelf with books that show some strong red covers. After that have a look at the photograph on a calibrated monitor.
In many cases you may not see proper reds. The reds are often captured as orange color. The reason is an uneven light spectrum of your light source where red frequences are very weak - something very common! In many areas it is a must that colors are reproduced correctly. So
a special index was introduced. That index indicates the light spectrum completeness of light sources and is called - CRI Color Rendering Index.
If you want to use artificial light and you want to get proper colors of the whole spectrum check if the described CRI of the light source is described as a number greater than 90, 100 would be perfect. With a good flash you’ll get all colors perfect or nearly perfect. So we can conclude that this kind of light source is one with a very good and complete color spectrum - a little nice sun.
The artificial light in the stable surely isn't perfect. This is why the child's jacket color may look a bit strange.
At the end I’d say, your pictures show a veriety of issues - but nothing really unusual.