Self-healing doesn't interest me because I doubt it works as well as they would like you to think (calling it that certainly sounds appealing to their marketing people, I bet).
The curvature is more favorable than the Galaxy Round.
In profile the curvature on this makes it look like a katana - if LG is smart they will draw the comparison in advertising. The ergonomic benefit isn't enough to push curvature, since curved body phones do just as much as curving the glass. At least with this model it makes a little more sense in landscape mode than tbe Round.