Note that the light blue area near the equator, indicating moderately large amounts of water, is LARGER during the Winter than the Summer.
This indicates a seasonal effect to this near equatorial water. Then this water near the equator is really free water, not water in chemically bound form.

Why can't this be an indication of aeolian redistribution of surficial hydrous materials or, alternatively, aeolian redistribution of a covering, thereby exposing underlying hydrous minerals? Aeolian activity on Mars is also "seasonal."

Real scientists, as opposed to those who merely play them on the Internet, have to be more cautious in interpreting results. That said, however, I would love for the Odyssey GRS data to show that frozen ice within a meter or so of the surface at equatorial latitudes. However, I'll await for more confirming data, perhaps from landers, before I use the word "prove."