This is correct, the hyperbezier positions auto points to maintain curvature, so anything that impacts curvature of a segment can cause adjustment of the handle

This is correct, the hyperbezier positions auto points to maintain curvature, so anything that impacts curvature of a segment can cause adjustment of the handles of neighbouring segments. In addition, auto points do not need to be smooth; you can have a corner with two auto points, which will be adjusted automatically in response to changes in segments to their 'side' of the corner (see the heart demo on the page for an example of this.)