There are rumors that say that the Knight's Templar no longer exists. Well, I suppose it went under ground after King Phillip.
Are there any groups (I.e. York Rite) that can claim and substantiate a direct lineage to the KTs? It is assumed that once they went underground, they never resurfaced under pain of Death. Essentially, they disbanded. It would make sense that they went underground for a period of time to get out of the center of attention, only to resurface later.
However, the general consensus is that they disbanded for good and that any organizations today that say they are Knights Templar are only contemporary groups that got together and took the chilvaric codes of the KTs and tried to recreate the Order. For instance, I can go start a group myself and claim that I am the true order but I have not papers to back that up, so it's really not "true" only that I hold the same beliefs.