Listened to the video at least a dozen times and I can't hear a thing.
Stuff like this can drive you crazy. I've had a bunch of these older trucks, and one thing I CAN say for sure is that they can get rattles, squeeks or undefineable noises that are hard (ie: near impossible) to track down. Are you sure it's not something inside the truck? As a for instance...when the wife and I were going to the FERR this year, out of nowhere, my '70 F350 picked up a squeek, actually more like a hard rubbing noise, inside the interior. It was rather obvious that it was inside (or so it seems, again, they can be deceiving because the cab basically amounts to a 'sound amplification box'
), and as you know, there isn't a whole lot of stuff in those interiors. BUT, there is a bunch of metal parts inside that cab that can give metallic sounds, and inside the cab it can sound hollow, tinny, or solid. She and I spent a LOT of time, pushing, pulling, shoving, tweaking...with our hands, feet and anything else we could use, against EVERYTHING inside that cab. NOTHING stopped it. Like yours, I noticed that it only happened during acceleration. As soon as I let up or evened out, it went away. Just the LIGHTEST application of throttle and it was there. Abso-freakin-lutely was driving me NUTS (I HATE rattles and squeeks!!)!! Now my only option is to strip the interior and re-do it piece by piece, making sure that everything along the way is solid and mounted good with no parts touching or rubbing. Luckily I was planning on stripping it this winter for a paint job.
I could give a list of dozens of places, inside and out, of things that have caused noises that drove me nuts on these old trucks. And inside the cab, they always sound worse. When I restore the '70, I will spend most of my time putting in sound deadener, mounting stuff super solid, making EXTRA sure that nothing can touch or rub, and even applying some sort of rubber or silicone isolators to metal parts that bolt or mount together. I know it will be the ONLY way to avoid those annoying noises.
May seem like that has nothing to do with you, except that noises can be, umm, irritating, to put it very VERY mildly. And old trucks are notorious for that. Good luck!!