I wash up in same way but any plates/dishes are soaked or rinsed off/wiped with kitchen towel before washing up properly. Even when I had a dishwasher I would never have put plates etc in covered in food - yuk all the food gathering goodness knows where!! As I'm now on my own I usually only wash up once a day.
When DH was alive he used to do washing up (pre-dishwasher days). I do miss my dishwasher but small kitchen in new home means I haven't got room for one or storage for extra crockery etc
I also rarely dry up, leaving everything to dry & put away when I get up in the morning (more hygienic than using tea towels)
Static caravan purchase is it worth buying