My wife's family taught me how to do dishes by hand and avoid the "pond of swill" issue.
Two sink basins. Dirty dishes in one side, and they have (HOPEFULLY) been soaked by whoever put them in there. The other side is empty and used for a rinse.
Small bowl sitting on the edge of the sink with water and a couple of squirts of dish soap dissolved in it. A sponge with a scrubbing pad on one side is dipped into the bowl and saturated with soapy liquid.
Dishes are soaped and scrubbed clean and placed into the second sink, where they are rinsed under running warm/hot water. I usually wait until the second sink is full and I wash the dishes in reverse order (small things first, plates and lids last) so the large plates and flat lids can go into the dish drainer first.
Saves water, soap and the dishes never sit in their own mess.
I married waaaaay outta my league.
Michael