Since all flood forms share memories, knowledge and thoughts.(wiki+gravemind quotes)
And since the first gravemind was more or less a Precursor(wiki+books).
Then the gravemind speaking to us in halo 2 and 3 is technically a precursor.
You would say it is only 0000000.1% precursor since the rest of the memories are other species but remember that the precursors created the flood and the first gravemind.
So it's safe to say that their indentity prevails over the rest.
The flood are , after all the Precursor's creation.
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[quote][b]Posted by:[/b] Pithean I was under the impression that the precursors created the gravemind and flood in their own image. [/quote] This^ I think the precusors created the flood and just set them loose on a species when they want them gone. This is what led to the forerunners wiping out the precusors. I think the promodial was probably just a precusor who survived and got affected by the flood and become a gravemind