PayPal's Policies are
different for every single country its' services are open to for obvious legal reasons and compliance with transaction regulations.
The United States doesn't provide any federal insurance backing for PayPal to be an accredited financial institution (unless I missed a memo), so verification is more strict here out of necessity, since its base of operations is here, and they "must avoid facilitating fraud and money laundering".
In the US, in order to actually come into possession of money sent to you, you have to verify with a bank account.
If you become verified that way, you can remain PayPal verified even if you close your bank account, but after closing said account, you would only be able to withdraw the PayPal money in cash form if you get a PayPal debit card (which can be used at ATM's and at any place that accepts MasterCard).
The process is simple and even an ordinary savings account will do. You don't even need to have a balance, but it must be accessible to you to verify it as they do it by verifying a pair of small deposits to your account. (Note that sometimes banks automatically close $0.00 balance accounts after a short period of time though. I found out the hard way.)
...Out of curiosity, is the amount even spendable as a PayPal balance? I think it used to be possible to receive funds in the US,
and spend the PayPal balance online without ever verifying, but I could be wrong. I've been verified with PayPal since 2001.
I know that you can spend money that you personally add to a PayPal balance via greendot MoneyPak without verifying, but there's a very restrictive spending limit if you don't verify.
Also, in the US, a credit/debit card is sufficient address verification
for purchases, but not for receiving "real funds", contrary to what is true for some other countries. This means that if you send money to unverified individuals it is done at your own risk,
not that it is entirely disallowed.
There have been a number of horror stories involving PayPal facilitating and/or committing fraud too, for what it's worth.
http://www.paypalsucks.com/
Due to not being an accredited financial institution, they can do just about whatever they feel like doing with your money if they have even the slightest excuse because they don't have to answer to regulations imposed on real banks.
They even froze the account of the creator of Minecraft when he got a huge sudden burst of income, and attempted to transfer the balance to his bank account, some time ago..