The iOS 7 iTunes Radio feature is a lot better than I expected. So far, it has done a good job of auto-building radio play lists even when specifying non-U.S. artists. This is something that Google Music All Access does very poorly in my experience. This is mostly because Google’s U.S. music store does not have much “world music” from what I can tell. Once it became apparent that I was going to use iTunes Radio going forward, I started looking for an option to make sure all this streaming was done only when I am connected to a WiFi network. I couldn’t find this option.
However, as you can see from the screenshot here, iTunes Music appears to be set by default to only play when connected to a WiFi network. This screen appeared when I paused the stream to run off to a meeting. While walking, I turned on my iPhone to check on my email and noticed the screen shown here (the last thing I did was pause iTunes Radio).