是的。网友理解正确。本句，是动名词复合结构作主语，其逻辑主语是名词，应该使用属格，即parents'。

Parents' making sure children’s security by using GPS ...

我写两组句子，然后诊断：

第一组

1. His asking questions is a good habit.  (正)

2. He asking questions is a good habit.  (误)

3. Him asking questions is a good habit.  (误)

4. Tom’s asking questions is a good habit.  (正)

5. Tom asking questions is a good habit.  (误)

第二组

1. Do you mind his asking questions?  (正)

2. Do you mind him asking questions?  (正)

3. Do you mind he asking questions?  (误)

4. Do you mind Tom’s asking questions?  (正)

5. Do you mind Tom asking questions?  (正)

句子有些中式英语的感觉，我重新翻译：

The use of GPS by parents to ensure their children's safety may hinder the development of adolescent independence.