Our perception of curvature is based on our position relative to the object. Flat disks viewed from the side look no different than a straight line. (Welcome to Flatland.)
Curvature is deceptive. The presence of curvature changes the qualities of the object we are perceiving. It introduces nuance. Curvature usually adds an additional dimension.
This makes our position relative to objects a significant variable. The more accurate our angles, the more accurate our understanding. With time and experience, we discover the situations, experiences, and knowledge that seemed straight before, have subtle nuances.
The more we adjust our position, the more pronounced the curve becomes.
It might be useful to work back from a maximum possible curvature instead. This pre-accommodates our errors of prejudgement, misinformation, bias, favouritism, history and expectations.
This way, every step back from maximum curvature is an acknowledgement that we are less wong than we thought. A much easier concession that admitting how wrong we really were, to begin with.