So at the present time there are two Giza stellar alignment theories postulated, Bauval's and mine, the Cygnus one is too inaccurate to include. Mine is extremely accurate, his is not.
As someone who followed every word of the several hundred posts involved in the Orion/Cygnus debate; and understood it all, I can honestly say that what you say is not true. On the ground Cygnus provides a slightly better correlation; but astronomically speaking the error for Cygnus is larger than that of Orion's. If you hold that the Cygnus correlation is quite inaccurate as compared to the Orion correlation you are either parroting something you heard without understanding why it is so; or you actually understood the astronomy of the matter, in which case you'd know that the error for your northern correlation is three time greater than that of the OCT.