Since you wash your towels so excessively, I am going to assume you likely do the same with your clothes. If you cut down on the amount of stuff you "have to" put in your washer, you might be able to fit several days worth of clothes that actually need to be washed in the washer.
Sure, if you want to re-wear those sweat soaked shirts and pants you wore while it was 33 degrees celsius outside, be my guest. I’ll take clean ones.
Sure we could wash less if we really wanted to, but it just doesn’t signify. The washer uses like 40L of water over 30m of runtime and then it’s done. We hang the clothes (and towels) outside, and by evening everything is fresh.
The shower runs at about 10L a minute. I think you can see how the washing quickly becomes irrelevant, and the shower needs to be heated too, unlike the washer.
