4 different wind directions - all putts starting from the same spot - all dinged - all same power - all same aiming point (shown by the aiming marker).
The red star shows the centre of the overall cluster.
I think it is pretty clear that each grouping tends to spread in the direction of the wind. Hence wind does influence putts.
Merry Christmas & a Cool Yule to all
Happy Hacking
Neil (The Hakman)