How to use @ControllerAdvice if there is no HTTP body?

I'd like to have an @ControllerAdvice that is called for all HTTP requests on all controllers. Unfortunately it only triggers if there is a HTTP body in the request. If not, it's completely ignored. Isn't spring supposed to call handleEmptyBody() in this case?

Edit
All controllers are annotated with @RestController.

Any ideas?

@ControllerAdvice
public class CatchAllRequestsAdvice implements RequestBodyAdvice {

    private static final Logger LOGGER = LoggerFactory.getLogger(CatchAllRequestsAdvice.class);

    @Override
    public boolean supports(
        MethodParameter methodParameter, Type targetType, Class<? extends HttpMessageConverter<?>> converterType
    ) {
        LOGGER.info("");
        return true;
    }

    @Override
    public HttpInputMessage beforeBodyRead(
        HttpInputMessage inputMessage, MethodParameter parameter, Type targetType, Class<? extends HttpMessageConverter<?>> converterType
    ) throws IOException {
        LOGGER.info("");
        return inputMessage;
    }

    @Override
    public Object afterBodyRead(
        Object body, HttpInputMessage inputMessage, MethodParameter parameter, Type targetType, Class<? extends HttpMessageConverter<?>> converterType
    ) {
        LOGGER.info("");
        return body;
    }

    @Override
    public Object handleEmptyBody(
        Object body, HttpInputMessage inputMessage, MethodParameter parameter, Type targetType, Class<? extends HttpMessageConverter<?>> converterType
    ) {
        LOGGER.info("");
        return body;
    }
}