Hydrogen Peroxide is H2O2. Initially it has a free hydrogen radical, acting like an acid - then it further breaks down to 2(H2O2) -> 2(H2O) + O2. It is this property of Hydrogen Peroxide (breaking down into good old oxygen plus good old water) that makes most people view it as "clean" and "safe". You can put it in waste water and it will not leave things there as would
Look, putting three drops of peroxide in 4 cups of water is not going to do anything. It is not going to rot your nose and it is not going to kill bacteria. I base this on two things - one that it takes 20 ppm to damage your eyes, the next that it takes about 200 PPM to purify water.
While 10% peroxide is corrosive and will do all sorts of horrible things to you, and industry uses concentrations between 30% and 70% for many things, 2-3% peroxide, like the sort you typically buy in a brown bottle for household use is fine for rinsing your mouth out with to kill germs or prevent bad breath. Some dentists like you to cut it in half with plain water. But it is not going to cause lesions like the stronger stuff will.
And when you take 1 ML (20 drops) and you add it to a typical humidifier load of 500ml of water, well, now you have a solution of 30 parts per million - remember that the OTC peroxide is only 3% max.
I had a hard time getting to a concentration tequired - I finally found that the City of Toronto was purifying waste water and needed 285 Mg/liter to get to the point where the coliforms were reduced to the amount that they wanted them. Your goal is to sterilize, so I'll say this is a good amount to use to sterilize. This is approximately 10 times the amount that I thought you'd achieve if you added 20 drops to 500 ML of water. (.000285)
I did find that, like those special kleenex that are designed to kill the residual cold viruses that are shed into them, peroxide in the bottles that you buy in the store is registered as a pesticide, and, therefore, its use for anything not mentioned on the labeling or its use in any way not mentioned on the labeling is a federal crime. Therefore I urge you to follow the label instructiuons, and I note that keeping a box of that disenfecting kleenex in the toilet in case you run out of TP is tantamount to encouraging people to commit a federal crime, since the tissue is labeled as "facial tissue". But I won't tell if you won't.
I also cound one article which was talking about contact lens sanitizing. It said that concentrations of Peroxide greater than 20 ppm could damage your cornea. 20 ppm is .000020, which is what you'd get from the 20 drops in the 500 Ml.
3 drops in 500 ML of 3% peroxide is 6 parts per million. Less than a third of what it takes to damage anything. And less than a tenth of what it takes to clean.
So, useless for cleaning, useless for dissolving your nose
Also: Peroxide is viewed as safe. Don't get it in your eyes.
And if you want to sanitize with household peroxide, spray it full strength onto the surface and then spray white vinegar - spraying those two solutions consecutively in either order is supposedly one of the best sanitizers you can get in your house - but you should rinse thoroughly.
Now, I'd like to know what problem you are trying to solve. The distilled water I buy does not have noticable bacteria in it - occasional cleaning with ordinary tap water seems to be all it needs. Why use chemicals of any sort if you don't have to?