CloudConvert HTML to PDF when data is private

Has anyone use the CloudConvert API to convert a page into PDF? If so, is there anyway to “authenticate” the API call as the Current User, so when CloudConvert’s browser goes to the page it will follow the privacy rules for the user?

Their documentation mentions something about Oauth, but I’m not too experienced in that area and not sure if it’s even relevant.

With the SelectPDF plugin it lets you pick a User to run as, I’m wondering how they handle it?