I think some do. Its sorta like One-Step. many years ago that was my no-rinse sanitizer, but now under new FDA guidelines its just a cleanser like B-Brite, mainly because the manuf. doesn't wanna shell out the money to get FDA to label it a sanitizer.
That said, I don't think B-Brite is a no-rinse sanitizer, so its on par with bleach solutions in terms of 'convenience'. Namely, its not. You *should* rinse it with sanitary water (i.e. boiled 15 mins and then cooled).
So the no-rinse sanitizers like star san and iodiphor win. One-STep was no-rinse too but takes 10 times the contact time to work compared to star-san.