Hi there,
I have added an instance of the SearchBoxScriptWebPart on one of my publishing pages, but I haven't been able to figure out how to set the "Search box control Display Template" programmatically. The setting can be modified through the UI under"Properties for Search Box->Setting" when modifying the web part on the page, but I guess there is a way to set this programmatically as well, just like the ResultScriptWebPart when setting the ItemTemplateId property. Does anyone know how to set this?