I'm confused. Author's team has been eliminated but he is still employed by Amazon? What's he doing now?
This isn't unique to Amazon. I've been at other companies that will give some period of time after a role is eliminated to find another job within the company -- sometimes it's a bullshit move, a soft layoff, other times it's a legit "we really don't need this role anymore, but we would like to retain you. You're free to look around and interview for other open roles."
Sounds like he's looked around and doesn't want what's available and they're not offering severance. Which sucks. If they don't need that position anymore they should cough up severance and send him on his way rather than dragging it out and hoping he quits or takes a worse job than he had before.