I don't think it would do
I don't think it would do anything except abrade the same few spots over and over and do nothing to promote thickening or toughening. Never tried it though, hope to read some reports soon.
I ran at 32 degrees F with no sun and plenty of wind last week, but the road was dry and salt free.
I'm really spoiled this month, ran and biked barefoot today, usually not possible for me this time of year in MI.
Plenty of rain tonight, some snow tomorrow, looks like the party's over.