I would not. Ioek does market an organic line, but this is not listed as organic. As such, it may have bleach or hydrogen peroxidenin thr cotton.
Hydrogen peroxide is extremely light sensitive which is why it is sold in dark containers. Since it will lose its cleaning/sterizing ability if stored in clear containers. Hydrogen peroxide breaks down safely into
water and
oxygen so your cotton bleached with hydrogen peroxide contain zero hydrogen peroxide...because it is dry... ....... and what is left is sterile and clean cotton. Organic will not be healthy if it will contain bacteria...and in my opinion most of those "things" marketed as organic are fake organic anyway...
An unopened bottle of hydrogen peroxide has a shelf life of at least one year.. but pour it into open container and leave in sunny place for a day or two and peroxide and water will
MAGICALLY 
disappear leaving clean empty container... Risk of using cotton that was bleached by hydrogen peroxide is in my opinion the same as risk of using distiled water to wash your
tank and drying it with air...
Hydrogen peroxide has been used as an antiseptic since the 1920s because it kills bacteria cells by destroying their cell walls...I used 3% Hydrogen Peroxide for gargling to fight gum inflammation without any problem...