You're being purposely obtuse. Points were already made up thread and are quite repetitious at this point. The analysis remains intact flap rate is used commonly to ID birds from great distances there is no reason that videos of flying birds cannot be used as evidence.
If you are serious propose exact formulas with values for all the pertinent taxa and will we and we will review it all. As of this point I see no effective rebuttal to the accepted us fish and wildlife service Arkansas rare Bird committee and the 17 authors that one I rebuild woodpecker existed in Arkansas 16 years ago.
The Imperial Woodpecker video is an obvious Imperial Woodpecker your IBWO videos are a low resolution collection of pixels which can be construed to share some resemblance to IBWOs but ultimately also match PIWOs and there the story endeth.