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Will
It gives strength because it's not a bad extra status to have. Doesn't really matter, though.
If you wish to confirm for yourself, you can if you take 5 minutes out of your time... I did the following:
1. Equip any Knuckles (I used 30 max ones). 2. Look at your character screen damage and (WILL -10, because first 10 of a stat do not apply) naked and without titles (I have 197 max damage and 411 effective will). 3. Deduct the following: 20 max damage from Knuckle Mastery, 10 max damage from Combat Mastery (Elf), 30 max damage from knuckles (the one I used). 4. 137 max damage are left after deducting the above. 411 will is exactly 137 max damage, therefore we can prove that knuckles rely solely on will. 5. Pot poison yourself to 0 STR and smash/windmill bears so you can confirm further.