No. That's an extrapolation protein blocking calcium absorption. But unless you eat fake American dairy products like yogurt or "American cheese", there tends to be protein in that cheese.
Incidentally, oxalic acid found in spinach also blocks calcium. Also beans and such have similar effect.
American cheese and yogurt have significant protein. American-produced fat free Greek yogurt particularly is high in protein.
You may be thinking of Velveeta and Kraft Singles but they don’t qualify by the FDA to be called processed cheese, they’re a cheese product. But even they have significant protein, albeit less.
Incidentally, oxalic acid found in spinach also blocks calcium. Also beans and such have similar effect.