It doesn't really do much for the sites in the long term, as the advertisers won't trust the analytics if these tools are regularly used or if they suspect they might be.
I think AdBlock for Chrome does what you suggest and then blocks using CSS.
Even if they stop trusting the stats, there's nothing they can do about it really. There's no way to tell if I see something or not. I would be glad to install such plugin... hopefully it will come to FF soon.
They can pay for referrals (or purchases if they don't trust the referrals, purchases are difficult to fake). People generally don't block paid Amazon links, unless they feel they're being tricked into following them.
Use chrome. That's how all the adblockers for it works.