I have used mine (black color) for a number of years now. I've transferred it to half a dozen frames at least, because I'm me. The ability to put modern stem and bar combinations on a vintage bike, particularly road/race bikes, is extremely appealing, especially as being able to do so makes it match the go-fast components and wheels that accompany the rest of the build. It's significantly lighter than a headset/quill stem/aluminum handlebar setup, with the ability to run extremely lightweight carbon or aluminum bars to bring the weight down.
An innicycle headset stiffens up the upper part of the front end. So, if flex is a concern, this takes it away. The difference between it and a standard quill for stiffness is pretty apparent. That being said, the innicycle headset is a tool for a job, just like a quill stem is a tool for a job. I run the innicycle on a frame if I'm going to be running modern high-end components on a frame. I run a quill stem on a frame if I am using vintage components or mid-school modern components that are polished silver. I love the innicycle for it's control, lightness, and ability to make a cohesive aesthetic while enabling a lightweight build. Hitting just under the 20.0 lb mark with a huge steel bike with fast parts is a fun game, and the ride is equally enjoyable. And on the flip side, I love a quill stem for its beauty, the era that it represents, and the give/flex that helps absorb the road.