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Over the nail after stropping will undo the effect of stropping. The nail is for assessing the edge while honing only. The moistened skin is for assessing stropping.

Y'all might find this old thread interesting:

http://straightrazorpalace.com/honing/7155-explaining-thumb-test.html

Might also shed some light on why the wiki is wrong.

Moisture softens and swells the cuticle (corneal layer of skin) - easier for the edge to cut and less damage to the edge. Also the moistened skin is a bit more sensitive to touch allowing better...