There is no difference except the wording that you see. Categories that were updated more recently have the "Suggest URL" wording, which will eventually appear in all categories. The change was made to clarify the point that suggesting URLs does not necessarily guarantee inclusion in the directory.
If you check, you will see both links access the same script:
http://dmoz.org/cgi-bin/add.cgi
Also, if you look around the various forums here, you will see plenty of threads regarding current problems with the site suggestion process. Staff is aware of the problems and is working on a fix. Editors have no control over the process.