So my point, backed up by the evidence of the Senate debate, is that the administration wanted the language in the bill to:
a) include US citizens
B) not exclude US citizens
Incorrect. The problem is your assumption that those involved were talking about the bill. They weren't. They were talking about the amendment to the bill that had been proposed. Which specifically excluded US citizens from the House Bill that was written by the Republicans, which included, as in applied to, US citizens as well.