If it's incorrect, you likely have bigger problems than where to send the pin. And I think there are ways to correct the address.
If it's outdated, then it simply goes to your old address. If you moved, the Post Office will forward mail addressed to you at your old address to your new address.
I always hear this story about post offices forwarding mail with old addresses, but in my life (having moved a ton), I've never received mail at a new address with an old address printed on it, while I have received huge volumes of mail addressed to the last guy living where I'm at. Is forwarding an American thing?
Yes, I have gotten mail forwarded as much as 8 months after a move. It get's a yellow sticker with your new address on the bottom right. I believe it's based on names so it may not work for all mail.
Having one's email forwarded to another address can also be subject to fraud. Haven't done it in awhile, possibly you now have to go to the counter and show some id, but it used to be far too easy to fill out the little card and hand it to the person behind the counter, no questions asked.
If it's outdated, then it simply goes to your old address. If you moved, the Post Office will forward mail addressed to you at your old address to your new address.