No, not normal at all. Since the intermediate shaft is not connected via the CAD to the passenger axle shaft which spins full time, there is nothing to spin the intermediate shaft so it sits there unpowered. When the driver side wheel turns, the spider gears rotate and spin the intermediate shaft backwards from the direction of the driver side axle shaft. Therefore, the axle shafts are not turning in the same direction and thus, nothing rotates the ring gear to spin the front driveshaft.
This changes if you add a locker or delete the CAD for a one-piece TJ passenger axle shaft, but otherwise in stock form, no, the front driveshaft does not spin when moving. This is also why when you swap the YJ to a TJ axle shaft and the front begins to spin, often there are new vibrations never felt before.