There is no regulated competitive environment to find the best gyro players, the overall player base is tiny and has not existed for long compared to other input methods, and a high end performance gap of some size exists as I outlined in the comment above and can not effectively be closed at this time if it ever can be so mouse play inevitably comes out on top if not by a huge margin then at least by enough of one

That said just today some mobile shooter player that's been using a gyro controller in aim trainers for a while posted a very short video with some tracking. It's nothing special for mouse play, but if you have any footage of non-AA stick players with even remotely close to this degree of capability I would love to see it as they appear to be very rare, as well for anything with the extreme flick speeds routinely seen across mouse and gyro

The range of a stick is absolute crushed down to a tiny speck due to relying on the motions of a thumb and due to being a relative/time-based input instead of an absolute/distance-based input, the mechanical and sensor disadvantages of gyro aiming just do not go anywhere near that low with remotely modern gear