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If strong aim assist is present then that can outperform gyro, but that also can outperform a lot of mouse users to the point that even PC lobbies have mouse users abandoning mouse for aim assist supported inputs. So it depends on the level of aim assist. But, with aim assist removed from the equation gyro is better than joysticks and is surprisingly usable against mouse players despite the absence of auto aiming.
Lot of life long controller users aren’t good at aiming using only joysticks either with increasingly stronger aim assist over the years doing the bulk of the carrying which has led to some players saying a games controls are bad if the aim assist is weaker than ones they do well in.
Then add in how different the dead zone and acceleration curves are for joysticks from game to game and it makes carrying over muscle memory difficult even if you master joystick in one game. It’s like how acceleration can throw off mouse users.
But, gyro helps a lot if native gyro is mouse like or you opt to bind mouse to gyro, since the sensitivity is something that can be replicated from game to game like people do with regular mice. This video might be a good starting point. One quirk of gyro is that some games you can just bind mouse to gyro and start playing, but other games may not support simultaneous gamepad + mouse so having to opt for mouse and keyboard binds on the controls. Some people bind joystick to gyro but that introduces unwanted negative acceleration.
I recommend Portal for starting out and getting used to gyro. Then once you are used to aiming with gyro something like Left 4 Dead 2 which has good Steam Input support.