Surface 1 is a single surface. Inventor only sees one object when I select it with the Stitch tool.

Inventor will not hide the lines at the at the tangent edges.
Is your goal to have a G2 curvature at each direction change?
See https://forums.autodesk.com/t5/inventor-forum/continuity-types-g0-g1-g2/td-p/10916385
I don't believe that there is a tool to convert lines or arcs to splines. Instead I would create a new sketch, and trace the geometry with the spline tool.
You might find some useful information from the Cam Design tools. https://help.autodesk.com/view/INVNTOR/2023/ENU/?guid=GUID-88D2391B-20CD-421B-A390-4347CA464B0A
Steve Walton
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Inventor 2025
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