Can't speak for your access, but if you don't get access to the AlFursan lounge, you still have other options like the Wellness Lounge and Plaza Premium Lounge in JED,
The AlFursan Lounge showers are great. Showered there once while on the outbound, and it was a decent experience. Tried getting in again on the way home but was denied access to the showers as there were problems with the drainage there. Hopefully, its fixed now and operational.