The links I make in those statements (which indeed can be connected by a deeper dive into the BLS data) are far more related to the ability of ‘wealthy’ families to pay for college as the claim that families making 200k/year have the ability to pay full COA for any private college in the nation. The missing implicit assumptions in all of those posts is the effect of taxation and annual income consistency on ability to pay.
You are, of course, free to disagree, but that doesn’t make those assumptions (regarding ability to pay) realistic at all.