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Was the camera first-person or third-person?
I invert horizontal for third-person cameras. Or did anyway, I think a game I played late last year didn't let me do that so I was forced to get used to non-inverted horizontal in third-person, so I can do both now depending on the gameplay.
I am not sure I can explain it properly, but think of it like you are controlling a camera on a tripod that lets turn the mount instead of having to turn the entire tripod. You would typically move it from behind the camera. When you do, if you turn the mount to the right, the front of the camera moves left.
The camera of a third-person game is typically adjusted with the character as the focal point, and you are looking from behind the character.
Now having written all of this and deciding to verify what I was saying, some games apparently have a different default for the horizontal axis. DQV and Ratchet & Clank both have "normal" as what I described as inverted. Dark Souls requires inverting to achieve this.