Incorrect and could lead to erroneous conclusions.

Multi-span degree 3 curves and surfaces have curvature continuity, not just tangency continuity, between the individual spans.

Multi-span degree 5 curves and surfaces have rate of rate of change of curvature continuity, not just curvature continuity, between the individual spans.

Multi-span degree 2 curves and surfaces have tangency continuity between the individual spans.

In general continuity between spans is one less than the degree of the curve or surface.

Degree 3 curves and surfaces are popular because they have internal curvature continuity, which is frequently a need or requirement. Reflections on surfaces with curvature continuity do not have discontinuities or kinks. Also physical materials supported at discrete locations tend to bend in shapes close to degree 3 curves and surfaces.

Degree 3 curves and surfaces are widely used because they have internal curvature continuity.