> Studies have shown multiple times [1], [2] that cotton bags require far more energy and water to produce than almost everything else and need to be reused circa 7.100 times for non organic and twenty-thousand times for organic cotton until they surpass plastic bags.

This "7000 times" number is based on a misrepresentation of a danish study. See here:

https://twitter.com/arthurhcyip/status/1115749675762581504

tl;dr 7000 times worse is for one category (ozone depletion) of the overall impact.