No, the eligibility to enroll at the school is very important to us, but not important at all to BCIS. It's your responsiblity to make sure you are eligible. There are different ways to interpret the law depends on different situation. They are not responsible to announce, and they won't, unless passing a certain legitimate process, which is unlikely to happen in this case. If you want to see, you can check the law, but I don't count any hope on it.
you can get lots of knowledge about it on the website of nafsa.
http://www.nafsa.org/content/ProfessionalandEducationalResources/ImmigrationAdvisingResources/sevpgovcomindex.htm
by the way, I'm not DaXiao, just a person who went through this. Good luck.