They would check. And if it turns out you have another email you didn't report, which is somehow linked to some other digital asset of yours, and therefore traceable, then you'd have a bigger problem.
Yes. What software are they using at State / DHS to do this? Is it any good? Will it read Arabic? Russian? Do they have access to Llms? The answer is almost always no.
I guess I don’t really believe Palantir’s marketing?
Yes. People don't take this seriously enough. I personally have known people who have been arrested and tried because of innocent things they did not disclose in their application. The charge is essentially "Lying to officials".
Of course, the US wanted them out for other reasons, but this is the simplest charge to bring against them.