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Yes, they do generally corner a lot better. It can be quite a challenge to engineer it to ride well though. I've ridden one where it was very hard to get the lean right, it would feel like the bike was understeering and you would fall to the inside.
I'd be interested to try the Cube with the two wheels on the back with a pivoting front triangle. Keeping the load vertical whilst still allowing the bike to ride more naturally is an interesting idea.
I used to ride a few trikes for work and they're brilliant for carrying heavy shit like boxes and boxes of paper etc. What's the advantage of this style with the box at the front and a tilting front end? Do they just ride a bit more like a regular bike?