The SolidWorks Property "Component Name" will be associated to the Reference Designator field in the WTPart occurence structure. This is in our opinion the wrong field because the Component Name field in SolidWorks must be unique, so therefore it will be extended always with the "Instance-Id", e.g. the WTPart Reference Designator for the shown screenshot is not "Clamp" but "Clamp-1". If you remove and reassemble the component from the assembly then it changes to "Clamp-2"
In SolidWorks there is an extra field "Component Reference" reserved for the Reference Designator. This field should be synchronized with the Reference Designator field in the WTPart occurence structure.
The PTC Knowledge Base Article https://support.ptc.com/appserver/cs/view/solution.jsp?n=CS211407&art_lang=en&posno=1&q=CS211407&source=search goes completely in the wrong direction.