On my opinion if you want same to same data by clone so you can use same shortcode into multiple page. actually as my clone settings i set your style data at clone settings where you can add data and its will be same layouts.
Perhaps there have some technical issue and i hope i can add this features into next version with 2 option. One is only settings another will be with all data.
I would also like this feature. When you clone a tab, it should contain all of the items and content. This way you can have the same layout with icons and change only the content that you need to.