If you hire someone expecting that they will be remaining and that you have three days to get the paperwork complete, and they quit at the end of the second day, that's quite a trick. Got a TARDIS in you back yard?
Yes, they should have gotten it done immediately. Not questioning that. But if they worked for less than three days, if audited the DOL and DOJ will not require the employer to go back to the employee and get it. They WILL make that requirement if someone who should have filled one out and didn't, continued employed for longer than three days.
And I have that right from the DOL's mouth.

