The tin (in this case the AE Carnuba) is a paste polish and the tube (AE Premium) is a cream polish.
Paste polish tends to have more wax and less oils, whereas cream polish tends to have less wax and more oils. One is not better than the other, they each serve a purpose.
I use both cream and paste when polishing my shoes. The cream is good for covering scuffs and helps with conditioning the leather to some degree, and is really all you need for a good brush shine glow. If you want to put a mirror/spit/bull shine on the toe (and perhaps the heel counter) you will want to also use paste. You can just use paste if you like, but I fiind that it adds to wax build up if all you want is a brush shine.
On a side note: I do like the AE Premium Polish quite well, but I would never use the sponge applicator directly on my shoes.