Thank you for your feedback. If you are still interested, press "c" can toggle the hidden fixed camera.
The normal camera is actually following tightly to the character as well. If the view is rotating weirdly fast, that is because the character has been following violent input commands. Gentler control might be the solution, like never hold down a key for more than 1s or push the sticks to the far end.
Reimu's camera does require some workaround. I believe it is constraining the player's speed too much.