I want to bring a doubt about JWT tokens and CSRF from the Stormpath post that explain the advantages and disadvantages of storing the JWT either in localStorage or cookies.
I am the author of the Stormpath Blog Post. Storing XSRF token in the JWT isn't about that it is in the JWT, it is about that it is in a cookie. The cookie should be httpOnly, so you can not read it from Javascript.
Now, I think the point that caused a little confusion is where I talk about angular. Angular sets it's only XSRF cookie as well (which is not httpOnly) to put it into the header at request time (which can only be done by javascript on same domain). These are not the same cookie.
If you think about implementing XSRF support in your application, this has been done with storing server side state and the point of storing the XSRF. Storing it in the httpOnly cookie is about being stateless with XSRF. Here, you would validate the JWT signature, get the XSRF out of the claims, and compare it to the header.
The answer to your question is so that you do not need to store state on your server.