Over many years, you have found 
Our new associate, Steve Beste, wrote an excellent article for his club newsletter and I will summarize that piece in another post.
In his article, he wrote, "[Along with better training] the other change since those days is the large horizontal stabilizer, mounted well aft. Some machines were prone to PIO, pilot-induced oscillations in pitch. The pilot would chase the oscillations, only making them worse until the gyro did a fatal bunt over. The large tail that Magni invented – as is used on all modern gyros – has fixed that."
As you can see, 
"[However, FAA's] data is not clean," Steve observed. I am well aware of this problem. Uncertainty about data accuracy of "alternative" LSA is why we have reported fixed wing Special LSA, only offering guesses for weight shift trikes, powered parachutes, gyroplanes, motorgliders, and more.
However, we hope that will now change and our market share reporting will be more inclusive. Hurray!
Problems in FAA's database is not caused by incompetent clerks. Agency personnel must sort through inconsistently-reported aircraft. If, as Steve pointed out in one example, the registered name of the aircraft is slightly different, it won't show up on a casual investigation.
He added, "There's no end of that kind of thing …just so we know the limitations on this exercise. But with that understanding, I love this kind of thing, I have the skills to do it, and would be honored to support your good work for the sport." All such reporting will be available on the home page when fresh and catalogued on its own space found by 
Chuck's son Jim Vanek took over the business and revamped the Vancraft designs. He said his "award-winning, world’s-first, two-place gyroplane took the prestigious Charles Lindbergh award at the Oshkosh airshow in 1985." The company also reports his Sport Copter II design was voted as one of the Top Ten Best Designs at AirVenture in 2011.
An airshow performer, Jim said he wrote the parameters and guidelines for gyroplane looping for the FAA in 1998 after performing the world’s first loop in a conventional gyroplane, in 1997. The company's website reports, "He is the only gyro pilot in the world that holds an International Council of Air Shows card for gyroplane looping and rolling." Don't even think about trying this yourself, however.
The company said, "We offer 22 thru 28 foot rotor blades of our own design with a lift capability from ultralight thru 1,200 pounds gross weight." They added, "We are the only manufacturer that test flies all blade sets prior to shipping." For export, Rotor Flight will fully build their aircraft but in the USA, FAA will only permit them to deliver kits, the same as all gyroplane producers.
As with all the modern gyroplanes, Rotor Flight uses a substantial tailplane. "The Dominator [series of one and two-place machines] incorporate the Tall Tail design for stability." Asked how their product differs, the company's website states, "What makes the Dominator so unique is its high profile design. It sits up very high off the ground."
Updated September 26, 2018 — This article has been updated to include more producers. See at bottom. —DJ Over many years, you have found LSA market share information on this website. Many have found this of interest …from businesses learning more about their market; to customers doing careful investigation before paying tens or hundreds of thousands of dollars for a new aircraft; to government fulfilling its task of regulating industry; to insurance companies assessing risk of providing their product; and many other actors in the blockbuster movie that is light, recreational aviation. I will have more to say about the broader LSA market share reports below but now I want to present the best information I have seen for Light-Sport Aircraft Gyroplanes. …uh, except for one problem. No such aircraft category exists, SLSA gyroplanes, that is. FAA has denied fully-built Special LSA status to rotary winged aircraft such as gyroplanes.