A year's supply of paper aeropress filters weighs about 1.4 oz. This is significantly less paper than a single Monday New York Times, so if you've ever read a paper newspaper, you've eco-sinned more than drinking a year of aeropress.

Indeed, the paper is so little that I'd be really surprised if the ecological impact of mining and making that metal filter will ever be recouped.

It's a little how cotton groceries bags are so resource-intensive that you'd need to use them hundreds and hundreds of times before they're better than daily plastic bags. (Litter aside, which isn't an issue with paper filters.)