Desktop app drag and drop is also a nightmare. Various frameworks can make it easier or harder, but regardless of what you choose, you have about 5 different states your draggable is in, and all of these states have at least 2 transitions to other states, and all your drop targets have to handle mouse-in/mouse-out/drop-end events, and those events need to expose enough data about the dragged object so that every drop target can not only execute the drop, but also tell you whether dropping is allowed without consuming the data.

It's not insurmountable by any means, but it does have enormous inherent complexity compared to almost every other UI action there is.