用 with 关联查询一对多的两张表,没法用 select 控制想输出的字段?

客户表和用户表,多对一.
如果只通过select筛选用户表的字段,那一切正常的,如

$res = Customer::with(['user' => function ($query) {
        $query->select(['id', 'name', 'status']);
    }])->get();
return $res;
{
    "customers": [
        {
            "id": 2,
            "company_id": 2,
            "name": "xxk1",
            "user_id": 2,
            "user": {
                "id": 2,
                "name": "kkk",
                "status": 1,
            }
        },
        {
            "id": 3,
            "company_id": 1,
            "name": "xxk21",
            "user_id": 1,
            "user": {
                "id": 1,
                "name": "wmk",
                "status": 1,
            }
        }
}

但是如果客户表也只需要输出若干字段,这样写,结果里的user项就会为空,怎么搞?

$res = Customer::with(['user' => function ($query) {
        $query->select(['id', 'name', 'status']);
    }])->select('id', 'name' )->get();
return $res;
{
    "customers": [
        {
            "id": 2,
            "name": "xxk1",
            "user": null
        },
        {
            "id": 3,
            "name": "xxk21",
            "user": null
        },
    ]
}