I soak mine in One Step (home brew oxy cleaner). H2O2 is a powerful sanitizer which destroys cell walls, and it dissipates very quickly. I am am not sure if the commercial oxy cleaners contain unwanted soaps (which is why I use home brew oxy cleaners) but I that shouldn't be a issue with a decent rinse cycle.
fwiw, the medical field prefers oxy over bleach to sanitize and when I asked my dry cleaner how they get my shirts so white with "green" cleaners, he responded that it's oxy clean.
I am however, going to switch to a media cup and go with disposable filter media pads. I hate washing my socks.