This is the funniest fuckin thing I've read all day. This mirrors my EXACT experience with extending my iqama here. Thankfully, since I married a Jordanian, I've been able to extend my iqama for a whole year. So no more fooling about with bureaucracy anymore.
Like, I used to be able to extend my visa from any police station until I suddenly could only do it at the one in Jabal Hussein. Just...why??? Hahah.