Is that something people are actually asking for? I don't think I've heard of anyone actually pushing for gyro aiming in major shooters like COD, Fortnite etc.
It's one of those things that people who haven't experienced simply wouldn't know to ask for. Wii had motion aiming but it was more of a gimmick, it wasn't until playing FPS games on the first Steam Controller that I, personally, realized how much more playable and comfortable gyro aiming made these games-- coming from mouse+keyboard, I found fine-aiming challenges on thumbsticks to be very uncomfortable.
Gyro aiming completely solves both fine aiming and tracking aim on a gamepad when paired with some kind of touch sensitive control for enabling the gyro (natural recentering).
In console FPSes they just automatically track the enemy if they're near your crosshair and call it a day-- giving everyone an aimbot instead of solving the UX issue.
It takes a bit of time to get used to, and games don't necessarily do a great job explaining it. At first I preferred the stick also but eventually grew to prefer it. I'm not sure how popular it is but a fair number of games like Fortnite[1] and CoD do support it.
For most people you're better having relatively high sensitivity on the gyro and using the stick for large movements. Using human pistol aim as a metaphor it's like the stick is your arm, and the gyro is fine tune aim in your wrist.
Personal experience. First: I'm not a gamer. I'm honestly bad at aiming with the mouse. (Even in my personal favourites, SC1/2, much more intensive on raw mechanics than AoE or BAR.)
I've first played Zelda BotW/TotK (which is very light on precise aiming), and I found the gyro both precise and intuitive. The game is nowhere near as fast-paced as a modern shooter, and the weakpoints are large enough to consistently crit. I enjoy the bow.
Then I've Switched to Warframe - a looter-shooter. NO auto-aim. My first attempts to aim with the thumbstick were painful and felt pointless. The default sensitivity was very low, which I imagine was supposed to help aiming, but it made many parkour moves near-impossible (the game heavily relies on both). You could always press a button to place the camera behind your back, but that was two-step, non-incremental, and wouldn't help turning up/down.
So I've cranked thumbstick sensitivity to the max - turning the camera whichever way was now easy; then committed 100% to the gyro for aiming. Honestly, I'm much more precise than I've ever been with the mouse. I can consistently land headshots (super important with incarnons), use bows / thrown / charged weapons, etc. My hit ratio is between 50-70% for most weapons.
I'd now be hesitant to aim with a mouse. Thumbstick - out. But that's just personal experience.
