When the wobble/weave happened to me so many years ago, when I was far more inexperienced with this bike, it was highly unsettling... downright scary. First time I'd ever experienced a high-speed wobble/weave on a bike. I'm experienced enough now to feel the onset of the danger area.
The vintage video links I posted showed success when lying down over the tank to settle the bike down but in cases where it happened to me, I had to
gently back off the throttle while
gently involving the rear brake and leaning more up, in coordinated fashion. I'm talking feathering actions. Any of those actions independently done too quickly seems like it will make it worse.
In a full-on headshake / tank slap scenario, the videos I've studied online show the violence of the physics at play and the advice I've read is to grip the bike with your knees and let it settle itself out. 5-6 cycles per second of that violence is just too fast for the average person to settle out with muscle and I think it could break your wrists or just buck you off the bike for trying.
I've been retroactively following with great interest
this other thread and learned a lot about the violent tank slapper from user
Lotsokids, but he hasn't posted to that thread in years, and right when he started making some progress (last was by changing out the handlebars), he went radio silent on that thread. His last post to that thread said,
"If the wobble returns as bad as it was, I don't think I could control it and end up in the hospital or in the ground." Last seen 4 years ago. I really wanted to see how he fared with new handlebars, but....