Actually. when you align the corner of the pyramid with the shoulder, you are in the correct place. That spot or line is known and most likely well marked.
That raises the issue of other important Sphinx alignments. It seems reasonable to assume a whole new direction of Egyptian archeoastronomy has been opened
The great pyramid was aligned on a north south axis and is extremely complex mathematically
It's reasonable to assume that it's all made-up modern anachronistic flights of fancy.