Почему не срабатывает switch case?

render() {
        return (
            <div name='list' className="list" onClick={this.handleClick}>
                <div name="checkbox-area" className="checkbox-area">
                    <i name="checkbox" className="fas fa-check checkbox"></i>
                </div>
                <li name="li" onClick={this.handleClick} onMouseOver={this.handleMouse}>{this.props.text}</li>
            </div>
        )
    }

handleClick = (e) => {
        let target = e.target;
        // console.log(target)
        console.log(target.getAttribute('name'))      
        switch (target.getAttribute('name')) {
            case 'checkbox':
                let rout_checkbox = target.style.display;
                rout_checkbox === 'none' ? rout_checkbox = 'block' : rout_checkbox = 'none';
                break;
            case 'checkbox-area':
                let rout_checkbox_area = target.firstChild.style.display;
                rout_checkbox_area === 'none'? rout_checkbox_area = 'block' : rout_checkbox_area = 'none';
                break;
            case 'list':
                let rout_list = target.childNodes[0].firstChild.style.display;
                rout_list === 'none' ? rout_list = 'block' : rout_list = 'none';
            case 'li':
                let rout_li = target.parentNode.childNodes[0].firstChild.style.display;
                rout_li === 'none' ? rout_li = 'block' : rout_li = 'none'; 
            default:
                console.log('error');
                break;
        }
    }