Yes. The point is that it's not just soap but soapy water that has just washed off all kinds of gunk and dirt off your hands or dishes. It's a good idea to rinse it off. But, apparently, that's not the done thing in certain sectors of British society, e.g. see:

I wash up like a normal person: I fill a sink with hot water and washing-up liquid, and scrub the dishes in order of what needs the least attention. Glasses need a quick wipe and then they’re put aside, while the cutlery has a nice little soak at the bottom. You finish with the pans. If at any point the bubbles are not sparkling white, the water is dirty and needs to be refilled. I then move the dishes to the drying rack, without rinsing them off. In my opinion, this is the cleanest, most hygienic way of doing things, because everything has a little bath in the sink.

https://amp.theguardian.com/lifeandstyle/2022/may/06/you-be-...

To be fair, dish washing turns out to be a very controversial thing. When I was doing my degree I lived in a shared student house with a British girl who was muslim, a Chinese girl and a British girl of unknown religion. The Chinese girl and I always insisted on re-doing the dishes after the second British girl did them the "normal" way as above. Then the muslim girl did them all over again with her own sponge to make sure they hadn't touched pork. But nobody picked up the used loo roll tubes from the bathroom. They piled up like abstract art :D