Hi
Bernhard,Currently, there is no configuration-based way (via localConfig or plugin configuration) to have the search field visible on map load in embedded mode. The embedded app initializes with search turned off, and when the map loads, all controls (including search) are reset, which overrides any configuration.
Regarding withToggle, although it exists as a Search plugin option, it is not used in the current implementation. The plugin determines layout solely based on map width, so withToggle currently has no effect and is reserved for potential future use or may be removed.