I received one of those scam emails, supposedly from PayPal that said I added a new address to my account. I forwarded it to PayPal and received a response back from PayPal that's printed below. It seems that not only will PayPal limit my access but may charge me for investigating. I wrote back and stated that if PayPal attempted to charge me for reporting a spoof, they could cancel my account.
Looks like no good deed goes unpunished.

The message I received from PayPal:

You have successfully submitted a claim of 'Unauthorized Use of My
PayPal Account'. For your protection, your account access may be limited
and all reported transactions pended.

PayPal will begin an investigation into the account, including contact
with recipient accounts, corresponding sellers, and/or other victims. If
the case is decided in your favor, you will receive a full refund of any
reported transactions, as well as any related PayPal fees once the
investigation is complete.

To complete the claims process, please follow these instructions:

1. Print this entire email, including your claim you submitted
(shown below)

2. Sign and Date the document

3. Mail the document to:

Attn: Investigations

Unauthorized Use of My PayPal Account

P.O. Box 45950

Omaha, NE 68145