No way am I lifting my heavy *** jack up and down like that every time I need it. I did hang up my little floor jack with a J hook like this though, been a couple years with no leaks. I was a little worried it would leak. I wouldn't hang up a quality expensive jack in fear of it leaking.
If I had a lightweight aluminum jack, I think I might attempt to hang it. Shi*t, I would have too! No room for 2 floor jacks on the floor! As far as I can tell these aluminum floor jacks uses are very limited, as all of the ones I have seen don't lift very high at all. Certainly not high enough to work on a 4x4. Save these for changing tires and oil on cars.