Every single stat is a product of more than one player doing something? Passing yards? You have to have people to block for you, and receivers to catch it. Punting yards? You have to have an adequate long snapper to give you a good snap, and people to block for you so that you can punt it. No stat is a representation of an individual player's talent.
You don't have ignore stats, but using them to determine absolutely the worth of a player is just ignorant. Sure, if you're basing your opinion of a player on what you see, there will be some bias. However, some bias in an observation is a hell of a lot better than using statistics to measure a player's worth that don't accurately measure their worth very well at all.
Regardless, this is a pointless argument. This argument is always a quagmire. You're not going to change your opinion, and I'm not going to change mine. Continue to blindly follow stats if you wish.