如何构造循环以检查嵌套数组中是否不存在对象值

我有一系列包含对象的数组，其中包含对象的数组...

const testArray = [
[
  {
    name: "object 1", 
    elements: [
      {type: "horizontal", scope: "name"},
      {type: "vertical", scope: "age"}
    ]
  },
  {
    name: "object 2", 
    elements: [
      {type: "horizontal", scope: "age"},
      {type: "vertical", scope: "location"}
    ]
  },
], 
[
  {
    name: "object 3", 
    elements: [
      {type: "horizontal", scope: "age"},
      {type: "vertical", scope: "location"}
    ]
  }
]
]

我只想返回包含对象不包含作用域的对象的数组：“名称”。在上述情况下，它将返回testArray[1]。我尝试使用forEach和some()，但无法正常工作。

//is called inside function that iterates over testArray
const generateNameField = arr => {
  arr.forEach(item => {
    const nameFieldFound = item.elements.some(el => el.scope === "name")
    if(!nameFieldFound){
      return arr
    }
  })
}

但是因为其中一个对象不包含scope: "name"，所以它返回了该对象。似乎无法解决此问题，不胜感激。