I rinse before hand-washing, and before putting dishes in the machine. Is that rinsing or pre-washing, though? I don't know - maybe rinsing is the last stage in the washing process and the rough cleaning at the start is pre-washing?
I don't wash good glasses* in the machine, and would never rinse them after handwashing, as they are difficult to dry without streaks if the soap has been washed off. Similarly I sometimes warm plates by putting them in hot water, and usually add a drop of washing up liquid so that they dry more easily - the viscosity helps to get rid of all the water.
*or my favourite Woolworths ones, as they can't now be replaced