I'm not running Server Advanced, but FMS is running just fine on a 10.8.4 (not Server) Mac mini for us.
OS X Server is now an add-on software bundle that you purchase and install into OS X. It provides you with extra tools. The underlying OS is the same. If you can live without the extra tools you needn't worry.
The only advantage of running FMSA on OS X Server that I can think of would be using Open Directory for user authentication. Although it is possible to setup Open Directory on a non server install of OS X.