Hi William, and welcome. This is an interesting proposition and one I hadn't really considered before. My understanding of earthen floors is that they can help moderate humidity extremes in the space where they are installed, but that you really don't want liquids sitting on them. Your case is sort of in the middle...you have a substrate that gets overly damp and would then wick into the floor above.
I think this would cause problems. One would be expansion of the material when it's wet, especially if there is a lot of clay in the mix. This might lead to bubbling and then cracking as it dries out again. If there's organic matter present, it will decompose. The presence of a semipermeable layer atop the concrete may slow down its ability to dry out after wet periods.
This might be a place where a membrane would be appropriate. A sheet of polyethylene would keep the
water out of the earthen floor, but you would need to monitor its presence and might have to add a way to help it leave the basement if it can no longer evaporate by wicking through the concrete. That part sort of eludes me...maybe a dry well with a sump pump?