If they want use my SSN for any other purpose, no go.
Garde la Foi, mes amis! Nous nous sommes les sauveurs de la République! Maintenant et Toujours!
(Keep the Faith, my friends! We are the saviors of the Republic! Now and Forever!)
LonePalm, le Républicain du verre cassé (The Broken Glass Republican)
Two problems.
1. They may claim benefits before you, and you get denied.
2. You will be prosecuted aggressively for claiming unearned benefits.
Trust me. I had identity theft committed against me.
No, --- they will just detect the discrepancy in the amount you report on your 1040 and set about collecting the income tax that you owe on the amount of income they calculate you left off your 1040.