Contrary to proxies, servers using Sqlite don't work. It actually is the frontend that causes trouble, rendering the server build useless. Therefore you should consider not offering a a web-sqlite3 and server-sqlite3 sub-package. Zabbix 2.0 should not have this limitation.
I'm a co-maintainer of this package now. The Zabbix 2.0 packages (F18 and up) don't ship these sub-packages anymore. Even for 2.0, they were proven not to work, because they require a specific build flags for PHP, we don't use. They don't cause trouble besides bloat. We could either close the ticket or just obsolete the sub-package on upcoming 1.8 releases for F16, 17 and EL6.
This bug appears to have been reported against 'rawhide' during the Fedora 19 development cycle. Changing version to '19'. (As we did not run this process for some time, it could affect also pre-Fedora 19 development cycle bugs. We are very sorry. It will help us with cleanup during Fedora 19 End Of Life. Thank you.) More information and reason for this action is here: https://fedoraproject.org/wiki/BugZappers/HouseKeeping/Fedora19
I think we won't introduce this change, with Zabbix 2.2 being awaited this year. Closing