Ron W, what it means is that you can have a church that is not an organized legal entity. You set up a pulpit and start preaching and you are a DeFacto church. When a church wants to be officially recognized as a not for profit the IRS they will form a not-for-profit corporation and then apply to the IRS for not-for-profit status.
What the WTBS did was simply remove the "church" element from the corporate entity. This was accomplished by resolutions and consents filed in the corporation so that that religious arm is stand alone and the publishing arm is a separate legal entity. Outwardly not much of an effect and almost no one would notice, but for certain legal and tax purposes a significant distinction.