I don't think that I could bring myself to rinse under running water, it seems so wasteful.
You only turn on the faucet in really short bursts--i.e. only when you have a dish to rinse--and I bet the amount of water used is lower than if you filled a sink of standing water. It doesn't just run the whole time.
That's why I said it seems wasteful, not that it necessarily is
I think that we were taught at school that leaving water running is evil and obviously it applies to everything. I usually wash quite a lot of dishes at a time (because I hate doing them and am lazy) and I think that rinsing them would probably take as much water as my plastic tub and it seems easier to me.
How do you shower? or flush a toilet?
I don't think anyone is advocating just leaving the water running randomly, but rather during active washing/rinsing time, no different then rinsing your hands, or your toothbrush or your hair.
I read your reply#1 as washing under running water as well, and thought it really wasteful. Knowing that you only turn it on when needed makes more sense

To answer your questions - I shower rather than run a bath, to preserve water. I flush the toilet using the small flush rather than the big flush whenever I can, in order to preserve water. In Denmark the same water is used for everything, which means we pretty much flush our loos using drinking water which just seems ridiculously wasteful to me

I wish I lived somewhere that used rain water for non-tap water.
OP, I very, very, very seldom rinse off the dishes afterwards. Danish dish soap is apparently very much like the Australian one

On the rare occasions that I do, I put everything on the drying rack, boil a kettle of water and pour it over. Rinsed dishes that dry even faster
