Interesting, my mother taught me to always rinse the soap off from my dishes thoroughly and look at that. Sometimes superstition is more useful than expert advice.
Momma was the expert, it was always pure superstition for people to think they didn't need to rinse, not just once but multiple times.
In the analytical chem lab, you can get an idea how suitable pyrexware is for future use by mathematically considering the quality of the final rinse water, the effective dilution ratio, and the number of times rinsed.