It's not that specific. You could even negotiate a downgrade with a TLS server to use SSL. The first 3 versions of the protocol were named SSL and the later ones were named TLS but they're not really different.
I won't bore you with the details, they're well explained at http://disablessl3.com/ among other places. All major browsers have ended support for SSL, and more secure alternatives have been available for years.
It's not a high risk; attacks require scenarios that may not be common, but it remains true that there's no reason to deploy SSL today.
BEAST can be mitigated through ciphersuite selections and other measures. This makes it somewhat different than POODLE which is a protocol design flaw for which no reliable mitigation exists.
Suggesting folks not deploy SSLv3 is hardly a controversial statement. It's not just a difference in version number, it's a difference in protocol specification and name. When we say 'Use SSL' a well intentioned reader may follow that guidance and implement SSLv3, or worse disable support for TLS. Words mean things.