I'm totally with you on this one. I can see the current head being a later replacement.
Although: Anubis had the body of a man, not a lion, so that theory is fucked. If there was a different original head, it was probably something else: a lion, or an eagle, or something; the ancients loved to mix up animal parts in their mythos, so roll a dodecahedron for what it could have been. Not one of the main Egyptian gods, though: those were all human-body, animal-head. Putting one of those on the Sphinx body makes absolutely no sense, and OPOP is a garden-variety moron.
P.S. that silhouette also just looks like a Doberman, which is twice as dumb.
I'm pretty sure that big ole nose would require modern reinforced materials. maybe they tried and failed to make the anubis, but i doubt it would've worked very well.
Re-carved anyway, although I'd like to know what happened to all the original stone. You'd think we'd be able to find it. It's a lot of stone based on that drawing.
At the age they were building pyramids and would have supposedly recarved the Sphinx, they were mostly using very large stone blocks. They only switched to smaller stone blocks in the Amarna period when Akhenaten had them do it to speed up construction. But that was centuries later.