while the original templars were 693 years ago, i don't discount their being around now in some form or forms - because so much gets handed down over the generations/centuries, both consciously and unconsciously.
furthermore, people like to revive "lost", secrets, mystical things.

I met a man 30 years ago who dropped large hints about his involvement in the Knights Templar. it was the secretness that made him feel so good, he had to tell.

Any organisations which has a philosophy and rituals can make its members feel special, and can create its own circles of power.