Based on the iconography, naming, and menu sections, one may believe that 'Add To New Projects' adds the selected source container as a favorite to new projects, which is quite confusing when Favorites alone do persist from project-to-project. I found out what this does on accident, and was very happy to discover that it actually adds them as a connection to all new projects, so I feel that a renaming, reorganizing, and new icons would help users a lot in figuring out what these things actually do -- especially those coming from ArcMap.

I would propose this order and these names:
- Add To Project > Add As (Folder/Geodatabase/what have you) Connection to This Project
- Add to New Projects > Add As (as above) Connection to All New Projects
- functionality should also be updated to add as a folder connection to current project as well
- update icon to look nothing like the favorites/more like the current add to project icon
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- Add to Favorites remains the same.