That might be the 10 most memorable skaters of the decade, but I wouldn't call them influential.
You're right about P-Rod and Appleyard, I would't really call them influential either
But those other guys..
Daewon: Broke every boundary for manual and miniramp skating
Guy: His comeback was truly inspiring
Koston and Cole: Continuously setting standars as far as streek skating goes
Cardiel: Paralysis couldn't stop the guy from skating
Kirchart put out set the standards for handrail skating in Sight Unseen
Reynolds is probably the best gap skater ever
Marc's ridiculous ledge skating in Fully Flared (not just him, the entire video did, but he had a big part in that (litteraly and figuratively)) made everybody get tech the next few years
I would call all of those guys influential