I suppose it depends on whether they recycle after 100 washes and who does it. A hundred washes would last two years in my house. They do say though some washers are used three times a week. It seems anything like this is a compromise between saving water and creating another waste material.
It is worth remembering that the water on the planet is the only water we have and that it has recycled a few times. But there is none available from anywhere else, unless we get hit by a comet.