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To be fair, I think the photographic image you have presented as bearing a similarity to the Great Sphinx is most disappointingly dissimilar.
In fact, the pharaonic Queen Hapshetsut - also renowned for an extensive building programme in Egypt and who ruled Egypt earlier than Ramses II - has many warrior sphinx statues that are far more similar in style to the Great Sphinx than the one you posted.
Just search Hapshetsut Sphinx images and you will see the likeness to which I am referring.