Although Mono sebae, is touted to be fresh water, they tend to only spend the early part of their life in fresh water, moving to estuaries and mangroves as adults that can be very brackish. They tend to be prone to disease in in fresh water (especially soft fresh water) . If the pH of your tap water is above 8, with high alkalinity, and high conductivity, there is a chance they may remain healthy.
But beyond Mono's, it seems most species, like scats, archers, and some gobies, do OK for a while in fresh water, but even they tend to move to brackish estuaries, or straight sea water as adults.
I take most species profiles that claim these type fish will be happy in fresh, with a grain of salt.
Sorry for the bad pun.