Yeah, I think you are actually right. I must have misremembered it. This source also suggests Mario Sunshine didn't have a "free" rotating camera but a combination of horizontal rotation and zoom: https://strategywiki.org/wiki/Super_Mario_Sunshine/Controls
Of course the question is whether there might have been an earlier game which had it. Regarding Ico, apparently it also allows only horizontal rotation (camera "panning" is horizontal movement): https://strategywiki.org/wiki/ICO/Controls