Shootfighting is basically catch. There are a few catch fighters in the UFC. Some Asian guys will have trained in it.
Shi Ming, the cute Chinese doctor who most recently won Road to UFC with a vicious head kick KO trained in catch wrestling.
There is also Rinya Nakamura, who was the U23 champion in freestyle wrestling. His father ran Shooto which was hte premier Shootfighting place. Rinya certainly learned a lot about submission fighting from his father which is why he transfered easily into MMA, which most world class wrestlers can't do that easily. Rinya only recently hit his first wall as a prospect in January.
In the West, I would think people who train with Humes, Paulson and what not could consider themselves to be shootfighters if they wanted.
Catch still has a decent following in Japan, or at the very least it overflowed into their grappling much more than other parts. So if there are to be more future catch fighters in the UFC, they'd have to poach them from Rizin. Ie, someone like Shinya Aoki is trained in shootfighting and uses MANY of its principles (which makes him very different from other BJJ based fighters), but naturally Asian promotions want guys who are that good and entertaining for themselves, which is a big reason why he never fought in the UFC.