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There is but one statue of Khufu in existence, I doubt an arab faker could make one that would fool anybody, let alone the BM.
Failing to find anything, why not an inscription which would ensure his posterity.
The Horus name is a seperate issue, as it's on the outside and could of been painted there whilst Khufu was active at Giza, as he was, as is evidenced by the western tombs.