Dita was my first bike, and I can tell you that in the 3 years I've been riding her ( the last 2 years, has been sporadic, since I moved up to the 919), I have not once experienced headshake on her. Her low weight , relatively low HP, and narrow body helps this immensely.
I've ridden her on gravel, and on what I would consider to be one of the worst roads in Canada. A twisty mountain road made of fake pavement in a National Park, with nothing that generates commerce at the top of it. Meaning no incentive for the park to get on that road. I'd estimate it's about 8 yrs overdue for a resurfacing. The potholes are up to 6" deep, and it's far too narrow for the traffic on it. It sees the harsh weather, and it gets hammered with RVs and other heavy vehicles going to the top of the mountain to see the Alpine meadows. ( Got some great Ice cave shots up there though...) There might have been some bear scat on there too...
On the way up the mountain, I rode the 919. I was terrified. We couldn't have been more than a few kms up the road when I decided to turn back. It was a handful. It was all over the road. I'd hit a pothole (sometimes when there's a winnebago coming towards you, and a pothole right ahead of you, and gravel to the right of you, the pothole is the way to go.) and the bike bucked as I came out of the pothole, then I managed to give it a shot of gas, as I slid backward. now we're headed hellbent for leather towards the next RV, the next corner, and the next pothole. Lovely.
I'm glad I changed my mind again before we turned back(mostly only because there wasn't a roadside turnout for several kms), because what was at the top was worth it, but there was no way in HELL I was riding that damn 919 back down the mountain, so r_outsider and I traded bikes.
Dita was a dream on the way down. I managed to lock up her back tire trying to stabilize her as I came into a corner too hot to navigate around another RV oncoming mostly in my lane, and she just pushed straight. Very little drama. We hit a couple of potholes, one of those 6" deep ones hard enough for me to consider getting the front wheel balanced when we got home, and she managed them way better than the 919. What's better - no whiskey throttle on the way out of the pothole.
Now, conversely, when we got on miette road, the well maintained mountain road with commerce at the top, I had a barrel of fun with the 919.
I've experienced headshake on my TTR-125L. It's not fun, I know why you're trying to avoid it. My suggestion would be ride the bike for a while, and see if you think you need to upgrade it. But don't dismiss it out of hand without giving it a chance to show you how stable it is without one.