I think it speaks of peroxide as a general disinfectant, but 3% is not effective against mycobacteria or Pseudomonas Aueringosa.
Here is an excerpt: "Hydrogen peroxide is mostly bactericidal at 0.5% in 30 min and yeasticidal at 3% in 30 min. A comprehensive fungicidal activity was not seen with 3% hydrogen peroxide in 6 h, similar to a lack of a comprehensive mycobactericidal activity with 3% hydrogen peroxide in 1 h...Hydrogen peroxide increases biofilm formation in A. oleivorans, P. aeruginosa and S. parasanguinis, whereas it is inhibited in Candida spp. In S. epidermidis. the effect depends on the hydrogen peroxide concentration (increase at 1%, inhibition at 0.02–0.25%). Biofilm removal is mostly moderate, e.g. between 55% and 63% for 3% hydrogen peroxide. The potential to cause biofilm fixation is unknown."
https://link.springer.com/chapter/10.1007/978-3-319-98785-9_6
There is a secondary issue with Hydrogen peroxide. Once opened, it rapidly loses its potency, and you cannot rely on the strength after a week or so.

Now for the hot pads - wherever cooking utensils are sold - many sizes and shapes - under $5 each and a lot cheaper online. Just be sure they say "food grade silicone" or similar. If they don't fit my pan, I just cut them with kitchen shears. Saves from melting or deforming Aerobika and nebulizers - especially on an electric stove or my propane campstove that has hotspots on the burner.