In reply to Justin.

Thanks for the input, Justin! You make a good point about the name, although it is an export/import experience that lives in the Customizer, so I think the name still works. One idea that I've had to make it more than just a theme mod export/import is to add hooks that developers could tap into for any settings that are stored in a different way. If that were to catch on then I think the current name would be more appropriate.