Audioengine 2's vs. Bose Dock for cube farm audio

I work in a cube farm and currently am enjoying my Bose Dock and iPod with Apple Lossless files. All of my listening is done a very low volumes as I am almost never in the office alone. I purchased the Bose dock several years ago for my wife to use at work, but she's not able to have it at work currently. We're looking at upgrading the junk CD player/Clock in our baby's room and everything that we're looking at is around $100. It made me wonder if I should just pass the Bose dock along and upgrade to the Audioengine 2's. The question being, how much of an improvement will I really hear at low listening volumes?

What your experiences and has anyone ever heard the two side by side?