Fleeing Pileated video--compare to the Luneau video

Previously, I wrote this:
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In the Luneau video, I believe we are looking at the bird's white wing linings on both the upstroke and the downstroke.
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Please take a look at this video of a fleeing Pileated Woodpecker. After the bird springs off the tree, I think the next couple of flaps give us views comparable to the key early flaps of the bird in the Luneau video. If you can step through the video frame by frame, you can see how this Pileated shows its white wing linings as it raises its wings high on the upstroke, and you can also see the white wing linings on the downstroke.

In the Luneau video, I don't see anything inconsistent with an ordinary Pileated Woodpecker.