I just looked up the 404: MN404 5watts 18 min g/h /108 max 32 in max head
I'm guessing the height is near or higher than 32 inches, so that woule be why it can't pump up to the tank. If I remember correctluy the AquaLifter only pumps up 3 feet.
I run a Tunze ATO that comes with a pump, so I'm not familiar with the JBJ. I think some with the JBJ have used a MaxiJet 1200. Hopefully you'll get more replies.