Our household has been trailing PaperKarma https://www.paperkarma.com/ for a month. It thinks we have unsubscribed from a substantial percentage of mailers. The volume of mail we get next month will be a good indicator of whether it actually works..
Hi, JT from PaperKarma here. It takes about 6-12 weeks (1.5-3 months) for mail to stop once you submit an opt-out request. This is due to in progress campaigns and the fact mailers print several waves of a campaign upfront. Rest assured you are no longer on the lists the next time they go to print!