This is true, but for some subjects you can partly get around this subject by doing a Batchelor at some free foreign university (and do really well there, like

This is true, but for some subjects you can partly get around this subject by doing a Batchelor at some free foreign university (and do really well there, like top of the year) and then doing a 1-year masters at expensive brand-name US university. Typically masters at Harvard, Stanford, or MIT etc are less competitive to get in. But few employers care if you got a BSc from MIT or an MSc. I teach at a large, well-known, and mediocre European university, and every year I send some of the my best students to top universities for further studies.