for anyone interested in the actual data question, schools have been seeing this documentation, and holding this data for absolutely decades. I quite frankly wish more people would just refuse to provide it, so we waste less time on statistical analysis, however, you can lose your place if you don't, depending on the exact data, the exact establishment, and the exact circumstances.
schools have been required to check immigration status for decades, some do some don't, personally, I refuse to be involved, however, you can lose your place if you don't.