I'm an International Lifestyle Studies student and I have used 'This is Service Design Thinking' during a project for a Dutch bicycle brand. I've learned that with the use of different tools and a lot of co-creation, concepts can be more specified for consumers and more state of the art. To answer your question: I think that a Facebook page which is designed following the design thinking method is more succesful than just a Facebook fanpage of the same brand. With a lot of co-creation and the right tools to improve your Facebookpage constantly, the needs of the consumer will be carried trough. I think Service Design Thinking is a must and not just a tool, a Facebook page without Service Design Thinking is a Facebook page which wouldn't have a long future. Even Facebookpages needs to be constantly innovated to attract their mentality group 24/7/365.
Good luck with your thesis!
Renée de Bruin