I would say that plates turned from end grain wood are tricky at best. I haven't worked with olive before, so maybe it has the strength to hold, but the problem you have is that your fibres are going to be very short, and generally adhesion between fibres is a lot less strong than the fibres themselves. In consequence, thin pieces from end grain have a tendency to break apart if undue stress is put onto them.
You can reduce the risk by
a) keeping the plates on the thick(ish) side, I'd say around 1/2" or more.
b) working your way in from the outside: turn about 1-2" of platter diameter to final dimensions and rough sand down to about 120grit, then do the next 1-2" until you arrive at the centre. Then finish the sanding, carefully, with all the other grits.
You will find that these plates will break easily, be warned.