Change Raster Mosaic Symbology to "Classified"

I have some Python scripting that creates two Raster Mosaic Datasets. The script then proceeds to add a number of surfaces simulating groundwater elevations. All of that is working well, but then I want to apply a color-ramped classified symbology from a layer file.

My layer file contains a classified symbology. But my Raster Mosaic Datasets have a "Stretched" symbology. My understanding is that the symbologyType property is ReadOnly and cannot be changed.

So my question is: Can the symbologyType of the Image layer in a Raster Mosaic Dataset be assigned to "Classified" when it's created?

Thanks for any insight you can provide.

Jon Mulder