Yes ,Fedora Core is definitely suitable. Software like apache web server and ftp servers should not be distribution specific . Correct me if I am wrong . If somebody can throw light on what software work only for specific distributions it would be helpful.
Although most software is not specific to a certain distribution; installing them your distros package manager requires you to know certain caveats. A common example is the location of the apache configuration file and the way module loading is handled. This differs quite a bit from distro-to-distro.
-- Anant