I have a compact double. I barely ever shift out of the big ring and don't need to shift to the small ring when I stop. It's not cross chaining as much when you have a double compared to a triple. Think about it, on a triple, generally you stay on the top half of the cassette for the small ring, you can pretty much go anywhere (except maybe the extreme top and bottom) when you're in the middle ring, and you try to stay on the bottom half of the cassette when you're in the big ring. On a compact double, the big ring is near the position the middle ring would be at on a triple, so it can pretty much go anywhere on the cassette. (Except maybe the largest 2 cogs.)

Either way, I'm cross chaining. If I want my gear ratio to be the same in the big or small ring, I generally have to downshift thrice when shifting to the small ring, looking the bike, the chainlines are almost equal, opposite, but almost equal (with very slightly less cross chaining when I'm in the small ring, getting worse the faster I get) That slight lessening of the cross chaining isn't worth downshifting to the small ring, especially since big cogs and chainrings are more efficient anyway.

EDIT: You should understand this, you have the same bike I do (except one year older.)