Because I've worked at two different healthcare companies. One provided services to about a dozen healthcare companies which included three of the largest ones giving me access to hundreds of millions of claims files (If not more because it expanded the whole of the United States for the big three) along with working with people who have been in the business for decades and I could see from the data and even those people told me directly that yeah hospitals with the name children's charge way more. 

I also currently work for a health insurance company and can see the same thing. 

So yeah I just know.