You are very very unlikely to stumble upon something resembling a training image closely enough for copyright to take effect, and in any event this is not the purpose of these systems. You may be running into trademarked content, but in that case you can not speak of laundry, because you can not use a trademark even if the image is AI generated.
"You are very very unlikely to stumble upon something resembling a training image closely enough for copyright to take effect" That is definitely not the case, and is completely contingent on the prompt matching closely what the training set has in it.
I think you misunderstand copyright and perhaps conflate it with a trademark. A given prompt may yield a result closely resembling some copyrighted work, but that in and of itself does not violate copyright. Getting a nearly identical result is very unlikely, perhaps with enough tries on a very famous painting. Even then, that is not the purpose.
