This looks like a video/cinema focus-puller's tool [albeit a budget one]
Even the good ones will not snap focus like a stills camera's AF. They are meant to be 'smooth' not 'fast'.
Even if you could access the camera's API [unlikely, as already mentioned by scottbb] then something this cheap will either refuse to keep up, burn itself out in half an hour, or will break either the gear teeth or the lens's mechanism if you tried to have it follow a stills camera's AF real-time.
Not really relevant to this, but a 'real' focus pulling kit will cost you about $£€ 8 - 10,000
...& you'd still have to calibrate it independently for every lens. Number of turns on the outside does not map linearly to distance focus travels, inside. The pro rigs have interchangeable collars you put on the driver remote to match focus distance of lens to position of dial on remote… and no matter how good the stereoscopic distancing systems mounted on high-end movie cameras, every focus-puller has a tape measure.