You can hit them but you will get exceptions which will be handled in ApiController.OnException:

protected override void OnException(ExceptionContext filterContext)
        {
            var exception = filterContext.Exception;
            if (exception is ReadOnlyModeException)
            {
                filterContext.ExceptionHandled = true;
                filterContext.Result = new HttpStatusCodeWithBodyResult(
                    HttpStatusCode.ServiceUnavailable, exception.Message);
            }
            else
            {
                var request = filterContext.HttpContext.Request;
                filterContext.ExceptionHandled = true;
                filterContext.Result = new HttpStatusCodeWithBodyResult(
                    HttpStatusCode.InternalServerError, exception.Message, request.IsLocal ? exception.StackTrace : exception.Message);
            }
        }