Whilst it is possible to use Drupal core's configuration management system to deploy Site Studio entities this is not the recommended approach due to the additional dependencies that Site Studio supports.

We recommend using the Site Studio sync module to package and deploy Site Studio entities as this will calculate and include all dependencies, including files. For more information, see Configuration management and deployment

In addition, when using Drupal's core configuration management system to promote config between environments, the config_split and config_ignore modules should be configured to ensure Site Studio's config is not included with Drupal's. See Drupal config vs Site Studio packages for more details on why this is the case.