I have try to insert the widget via ckeditor the widgets doesn't having Insert Widgets options for some of widgets.
Steps To Reproduce:
1) Create a new pages via siteoption / blog entry.
2) Click on the Insert ContentBox Widgets Options icon in the ckeditor.
3) You can see the list of widgets in the Select a Widget list.
4) Choose the any one widgets amount ContentStore / Menu / CBHelper etc.
5) Some of them having Insert Widget option and some of them don't have that option even that widgets are having content.
Example : Content store not having insert widget options.
The content store widget having contact information but I can't see the Insert Widget options. Reference "ContentStoreWidgets.png"
Example : Menu having insert widget options. For your reference please check the screen shot name as "menuWidgets.png"