Makes sense, though I don’t think it’ll happen soon, considering LinkedIn holds a lot more information than the average 1 page resume. I don’t keep all my work experience on my resume.
The most important part of my resume is the top third of the first page that lists skills, technologies, and finance specific information that allow a recruiter or target person to easily see I do and get a feeling for my career path without having to go into the job specific details yet. I don't really see a way to do something like that.