Without even going into the motivation of why you would want to do such a thing:
I’ve rarely seen poor performers receive severance. I know it’s the wet dream of so many people here on blind, but nope, not really a thing. Usually it’s a long drawn out painful documentation filled ordeal that is no fun for anyone involved. And if one party (the employee) is non cooperative it becomes a heck of a lot easier to get fired (no, not with severance).
Sounds like you are ready to burn the bridges at AMZN. Why paint yourself in a bad picture, just for a few thousand $?!!! It is a small world, you will come across the same set of people, in your career, that you (think) are out-smarting. Just be honest, and move on, if your intention is to move on, and take on another adventure in life. It is funny that a person from AMZN is even thinking about something like this. Did you really pass the LP round in your interview there? If you did, then the whole LP crap that candidates go through during interview is all a hogwash?!!!
Severance is a way companies can dismiss employees without cause and avoid frivolous lawsuits. A few thousand dollars is cheaper than dealing with angry employees looking for money.
But if you are let go for documented poor performance or other bad behavior, then you can kiss severance goodbye. They can easily show they let you go not because you are black, gay, or handicapped, but because you missed all your work deadlines.