The only disadvantage I can see to that proposal would be in the ability of the various police forces to identify the members of each organization. When carrying out surveillance, it is easier to identify someone who is wearing their colours. If the people do not wear them, it is more difficult to determine exactly who is part of the organization.
Evidence of meeting #11 for Justice and Human Rights in the 40th Parliament, 2nd Session. (The original version is on Parliament’s site, as are the minutes.) The winning word was organized.
A recording is available from Parliament.