My question is limited to "the list." I.e. this is the list of people to whom I connected on this network and, perhaps, the connection type (e.g. followed them, allowed to follow you, both tagged in some post, etc.)

But to add my thoughts to your question: I have a photo, I uploaded it to my account, it's my 'data' and I've simply shared it with you (or made it public) such that it is displayed to you. That doesn't make it your data, meaning you don't get it in an export dump. Perhaps you have a client that makes copies of published posts from your network, but exporting those things you consumed (which are not yours, to which you do not have a 'license') should not be the intent of this export functionality.