You have to prioritize. The cast iron pans are one of the only things that can wait because you never really have to clean them spotless anyways.
That being said, I can always use an oven mitt and my cast irons are so long seasoned that I could leave them overnight in the sink w/o a problem other than a little surface rusting on the bottom.
Mine isn’t usually spotless because when it’s time to eat it’s time to eat, but I always clean as I go. Everything I do in the kitchen starts with a piping hot sink of soapy water.
I don’t think I’d ever be ready for that hand job.