TLS 1.0 was also vulnerable to BEAST. I'm assuming that pointing to TLS 1.0 as the "minimum" is temporary. Over time, we will decide that the cutoff should be TLS 1.1 and we'll deprecate TLS 1.0. At that point, everything you're saying about SSL will be true of TLS 1.0. It's really just a difference in version number.
Yes, it likely will. That's probably why the article mentions a deprecation of "Non-Secure HTTP" rather than prescribing a specific TLS version. It's the sort of language that will stand the test of time as newer protocols become deprecated. The comments here, however, largely encourage "SSL" which is poor advice.
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.
