As the post says, beziers are everywhere so we are stuck with them. It's worth trying to improve them for that reason alone.
Additionally B-splines (like Catmull-Rom) have the issue that moving one point affects a larger area of the spline than an equivalent bezier. The local control of beziers makes them more desirable for precise illustration.
As for the formula you cited, it tells you where to put the control point for continuity in function of two scalars, but those scalars don't directly map to intuitive controls. It also doesn't help when moving a curve point while preserving curvature on both sides because it only tells you one side in function of the other. I.e. continuity of curvature is a weaker constraint than having the desired curvature.
I initially experimented with something similar but found that numerical drift would steadily accumulate during interactive editing. The post shows this with the last example before curvature handles: rotating the tangents there preserves curvature continuity but the curve tends to blow up for certain angles, because the tangent is a poor proxy for indicating desired curvature.
Additionally B-splines (like Catmull-Rom) have the issue that moving one point affects a larger area of the spline than an equivalent bezier. The local control of beziers makes them more desirable for precise illustration.
As for the formula you cited, it tells you where to put the control point for continuity in function of two scalars, but those scalars don't directly map to intuitive controls. It also doesn't help when moving a curve point while preserving curvature on both sides because it only tells you one side in function of the other. I.e. continuity of curvature is a weaker constraint than having the desired curvature.
I initially experimented with something similar but found that numerical drift would steadily accumulate during interactive editing. The post shows this with the last example before curvature handles: rotating the tangents there preserves curvature continuity but the curve tends to blow up for certain angles, because the tangent is a poor proxy for indicating desired curvature.