That's a real issue. If you're on a student visa, and were planning on coming back in the fall, leaving the US for the summer may be a bad move. Entry to the US can be denied arbitrarily. Deporting someone is harder.
They've got a deportation order, so somebody is being put on a plane to El Salvador. Whether the name of the person being deported matches the name on the deportation order is another question, but not one ICE seems bothered by anymore
It used to be harder and mostly seems to be a matter of ICE finding the right door to break down now.