This is a result of a number of factors more than likely. Root cause is a bad detergent/soap to water ratio, which can be caused by putting too much in or unexpectedly soft water (people who are used to putting hard-water amounts of soap into washing machine loads who suddenly move somewhere with super soft water will often do this once or twice before dialing it back), but a contributing factor here is likely that the drain line that the hose is dumping into is partially clogged, so the suds are having a chance to backflow up past the hose instead of staying with the flow of the water, or the wrong type of soap is used as was mentioned above.
Oddly enough, last year I used dish soap in the laundry for a few months without noticing, and nothing like this happened. I was surprised when I looked it up and saw this kind of thing as a common occurrence. Couldn’t believe I had picked up this container each weekend for months without noticing the picture of plates and glasses on the front.
I understand now these soaps are quite different from one another and the fact nothing happened to me is a fluke, so definitely don’t do this on purpose.
Related: I do not recommend pouring dish soap in the jet dry/rinse aid port of your dishwasher. It’s… Something special. (And you need to rinse that reservoir really well after that.)