....the twitchy steering, or shimmy as it's often called, can happen on some trike designs, and not others. It's a bit of a mystery as to what causes it, but the cure seems to be adding in some stiction to the steering, as is the case here with the ICE shown above. Both my home built tadpoles have had shimmy, and on my mk2 I added some rubber washers to the ball joints and reduced the shimmy so it's no longer an issue. I also live in a flat area, so no chance of breaking any speed records, typical jaunt maybe 12mph average............
It was a problem with Catrike Expeditions who replaced the headset upper bearings with a Teflon bushing, but it can be a function as to the relative position of the wheels. Some trikes like them parallel, some slightly in at the front (toe-in) and other slightly out. It can also be different tyre pressures.
It is a case of knowing your trike, how to set it up best for you and riding within its limits