I'm going to write a Wiki page about CustomShapes addressed to developers. Text therein will be for example:
1 What is “CustomShape”?
“CustomShape” is a technical term and does not mean “made by the user”. But “CustomShape” is the umbrella term for those shapes, which have an enhanced geometry. These shapes are written as element <draw:custom-shape> in the file markup in ODF format.
Many of these shapes have handles and shape specific glue points. For all of these shapes and only for them the tool “Toggle Extrusion” is active in the UI. Looking at it allows to quickly distinguish a CustomShape from other kind of shapes.
We have already page https://wiki.documentfoundation.org/Development/Remarks_on_Fontwork_and_TextWarp
There the spelling "custom-shapes" is used.
The Draw guide has "custom shape" in chapter "Text callout".
In the style dialog in the UI we have on tab 'text' the wording "Custom Shape Text".
I am looking for a spelling that makes clear, that it is a technical term for a kind of shapes and that "custom" in this context has nothing to do with "user".