A well grounded mast DOES NOT attract lightning any
better than a non grounded mast at the same location.

actually it does. both the ieee and cigre have been using lightning
statistics data collected mostly from tall masts for many years.
There are well known formulas used to calculate the number of strokes
to a pole or power line, both include the height, and as height
increases so does the number of strokes to the object. The height
also skews the current distribution with higher structures more likely
to get more high current strokes.