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@TonyK I know what she means. I work with a lot of undergraduates and general public who think the Moon does not rotate. It is not clear from the question that she knows the Moon rotates, in fact the phrasing of the question would imply she does not.
There is a fundamental misconception in your question: The moon does rotate already, it just rotates on its axis once in the same time it takes to orbit around Earth once.
How do you define "see the moon during the day?" Any time it's not a 100% true new moon (solar eclipse), you can technically see the moon if you know exactly where to look and have an optical aid, if it's up. Meaning that it would be just about 50% that it's visible in the sky. Multiply that with 50% of the time the sun's visible, and you get 25%. I also assume you mean "when the sun is above the horizon" by "day?" This assumes a spherical Earth, spherical moon, Moon orbits the equator, and is on a circle orbit. It's slightly more complicated than that, which would alter the numbers a bit.
It seems to me that you would need a very good model for how transport speeds/mechanisms work with Mars' dust, atmosphere, and gravity, and then you would have to track those which generally require HiRISE scales. Just looking at dune shapes/directions wouldn't get you that information. If you want wind DIRECTION only, then we have plenty of info from images.
Tiny pedantic quibble: The word "recognizes" is not quite true. The IAU names things, and it has officially named 9137 lunar craters (or whatever the most current number is). It has no actual role in "recognizing" them and in fact has some rather substantial errors in it (well, at least one). Further, names are only submitted for craters by the community when the crater is important for some scientific reason. Given interest in elliptical craters, it's not unlikely that the number one might consider "elliptical" is higher in the IAU's named features than the overall population.
