My husband does not rinse either. And so of course, his children do not either. So many new rules came into effect when I moved here, that I felt it too much to get into this. HOWEVER, I have added it to my list of changes for when we move to the States in a few years.
I assume that part of this is because double sinks are not as common? I've been in quite a few homes now, and no one has more than the one sink. We use a basin as well. I asked why, and DH said it was because if you filled the sink, you'd waste water because it's wider than the basin, so takes more water to get the depth he wants. I conceded on that issue. And actually, I've stopped rinsing most dishes. I have a cup/mug that only I use. That gets rinsed. But the rest, I can't be bothered with, as it's just too hard to rinse without getting water everywhere, or making the dish washing water too cold, as it is impossible to run anything but scalding hot water out of our kitchen tap.
Thank being said, when we move to the US, EVERYONE will be rinsing!