Yes. The standard one I ordered (red rubber-covered handle in the back) has both on the same piece. You just flip 'em. Sleeper's is weird.
P.S. I donno why I would bother using the sliders as spools even if I had them (I have SpeedyMoto's sliders instead). I can imagine that the sliders would incur wear from mating with the metal.
If you take a look at my picture the spool plate does not have a standard plate head on the opposite end. You might have a newer model. Zedsaid, you should check into this... might save you a few bucks if Holden is right. The standard plate was separate when I purchase my stand.
I lift my bike up quite a bit for chain lube and tensioning, cleaning and inspecting wheel and tire. Of course, you cannot remove the rear wheel while using the sliders / spools but for me removing the rear wheel for maintenance or mods is rare. Having spools is much easier to gauge than with the standard plate. I also lift my bike up every night and there's barely any wear or scratches to the sliders caused by the plate. I have the shop replace tires for me so this setup is safer, more convenient, and easier to use for me. Of course, YMMV.