All the sections on LinkedIn should just be importable, and some of them (formatwise) are already very similar to the experience section that (I assume) it shouldn't be very a dificult feature to implement.
This is important because all those sections have some kind of important information for different people and it's that specific lack of exportable information the original "export to pdf" linkedin function was missing in the first place.
I understand design is important but for my what does it matter if the content isn't there on the first place. I really thing this should be your focus.
Whether it's awards or volunteer experience or the names and description of your projects on your behance portfolio for instance, you should make this available as soon as possible.