That is a good observation, but I don’t know that I would judge too much by the examples provided.
Reason I feel that way is that I see it as a WB issue more than actually showing a significant difference between the prints and monitor.
My thoughts are that you have two different light sources, the ambient room lighting and the monitor. It appears the room lighting was toward the warm end where LCD monitors have been backlit with fluorescents at about 6700K usually. The EXIF of the examples state the camera was in Auto-WB, as such it can only balance for one source or the other. And as noted by Scott, the hand seems a bit red’ish which would seem to indicate the camera set the WB for the monitor making the prints and hand warmer looking due to the lighting upon it. So the actual perceived difference by an observer on site might not see such a drastic difference.
If my rational went astray, I would appreciate a correction and any varying opinions.