Not sure if you’re joking or not, but that is not how it works at all.
A close friend has taken a tour of a local landfill in WA state and was shown a perfectly preserved months-old banana that was dug out by the presenter from the landfill. Apparently the landfills, at least here, are completely sealed. If a banana stays “fresh” for months a sheet of paper will stay fresh for a century.
And be that as it may, suppose we create special landfill for paper - that one can easily be made completely sealed and good for a thousand years.
Without them, newspaper takes >> 50 years to decompose.
Diverting waste paper to a sealed dump would definitely sequester carbon. (But you need to make sure the production of new paper is carbon neutral vs recycling for this to work out).
https://www.treehugger.com/sustainable-product-design/mass-t...