The back doesn't show it, the camera might not show the difference but Lincoln is less shiny than the background.
The mint had a lot of issues in 1964-66 and in 1965 and (I think maybe 66) they also minted coins with the 64 date on it. Some of the dies were taken from old retired proof dies and used to strike circulation strikes, giving some a PL effect. Can't say if this is on this one but still, an intereting story.
There were no proofs minted in 65 or 66 and I thought that proof planchets were specially prepared and polished as were the dies that struck the coins...
Proof is a method of manufacture and so the best it could be is Proof Like (PL). I am no expert and could be wrong but I don't recall seeing PL designation for LMCs.
Yes, some have a prooflike appearance, though it would be difficult to get a TPG to attribute it as so unless particularly strong. They used 1964 retired dies, but used it for business strikes, so they did not quite carry the same luster.