Currently not all browsers allow tab navigation of all conventionally focusable elements. Safari for example won't tab focus buttons without a setting change (or I think nowadays if you set tabindex="0" explicitly).
How does focusgroup play into this? Should it follow the same behaviour or should it be specified to force focusing of these elements when using arrow keys?
Ultimately this might be up to WebKit how they choose to handle this. But I think developers would prefer it to just work.