I think GTS just makes raster levels
The Toonz Raster and the Raster (as you have mentioned) is that Toonz raster keeps the color information. Raster levels deal with pixels, so to keep track of colors would be ludicrous. (you would have 50-100 different palette colors) There is an option to convert to vector so I imagine converting to a toonz raster is possible but, in my experience, converting to a vector makes it really hard to get what your original image looked like (obviously, the more complicated the image the harder it is to convert)
I would look through the keyboard shortcuts menu and see if you can find anything along the lines of "convert to Toonz Raster" and if not, you could try messing with vector levels and see if you can get what you are going for with that option.
good luck, let me know if you find the answer, I'm really curious to know!