Praying is not mouthing word in a room in unison like a parrot, as it is often done in so many synagogues, Orthodx and otherwise. It is not a set of "customs and ceremonies". Indeed if you ask some serious thinkers about "prayer" they would tell you it's likely one of the hardest things a person can do. To describe prayer as someone holding a Torah scrol in a photo-op as prayer is a litte off-side. Sitting with your gotkes towards midnight reciting Tikun Chatot on the stoop of stairs leading to the basement is prayer, but nobody takes pictures of that for HaAretz. The other "women of the Wall" who didn't participate with Rabbi Anat were praying. Then again, considering that the Southen Wall is part of same retaining wall, what makes the Western Wall "holier" than the Southern Wall, other than one is reserved for worshippers that follow Halachic standards and the Southern Wall is for Alternaive forms of Jewish worship.
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from the article: Warriors of the Western Wall