Actually, I think all that would be necessary to change the game so that the wind would move in 1 point increments rather than 2 would be a wind indicator base with 16 sides rather than 8.
Nipping each existing base corner about a third of the way into the existing sides would create such a base.
There would still always be 2 sides at 90 degree angles to each other to line up with the mat lines.

I wonder how hard/expensive it would be for someone, ahem, already in the business of making such things to add this to an existing product line?