Correct Jackie, but one thing that I'm not up to date on (since I haven't taken an international flight in 5 years) ...
In the paper I-94 days, the airlines removed the stapled form from your passport as you checked in for your departing flight. They were also responsible for forwarding the form to the then-INS. But the traveller didn't go through the equivalent of 'Passport Control' that you have at UK airports. So, the question is ...
who enters the electronic record of departure from the USA? Is this done by the airline check-in clerk, or have they implemented a form of Passport Control for departing international passengers?
I read something about the electronic records in my earlier research for other topics, but I don't recall seeing the answer to this question.