No, striking it more will give you a larger share of his payout pot. Howver it doesnt increase your protection. Your protection comes from having under 12 Slothshards, all players with less than 12 cannot be attacked by anyone.

We have bee miners and sloth miners, bees mine honey, sloths mine slothshards.

This post. might be helpful for you:
https://www.slothbuzz.com/post/slothlydoesit/slothsminingwar-a-beginners-guide-your-feedback-shapes-the-game