yes that is pretty much what it means. when you carry in another state though it is a good idea to know the laws of that state as you have to follow the laws of the state you are in... not the laws of the state your CWP was issued.
Luke, the wwwusacarry.com owner/manager has posted an interactive map where you can research which states allow will for your permit, or not, and under what conditions. You'd have to ask him if it's up to date.
Also, there are separate forums here on this site that deal with each state. You can check out both