Why I Don't See Chrome OS and Android Converging

Android - I install Wordfeud on my Android phone and leave my phone at work. I cannot play Wordfeud until I get my phone back the next day.

Chrome OS - If Wordfeud existed as a Chrome web app, I could access it from any of my computers with Chrome browser installed and/or a Chrome OS computer. Whether from work, home, netbook, or mobile device, Wordfeud would be completely cloud based and the machine it's installed on would be irrelevant.