Maybe the inclusion of the drawing in the piece is what's causing a delay? I may be wrong here, but I would think most signature authenticators would be comparing the signature to their signature exemplars that they have on file. Otherwise, you're talking "art" authentication (though with a simple line drawing, that might be closer to comparing signatures than, say, a painting).
Just my 2 cents, with the caveat that I have no idea how JSA handles such pieces.
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