Mathematics makes strong case that “snoopy2” can be just fine as a password
arstechnica.com
arstechnica.com
Any hacker or security researcher would say that a alphanumeric password under ~10 characters is not wise.
You don't know what kind of hashing websites are using, and rainbow tables exist for the common types.
IMO, the title of this article is irresponsible. A short common password is not a good idea, if mathematicians suggest otherwise then they are wrong.
Combining the login process with 2-way auth might be a different story though. I guess technically a password isn't even needed with 2-way auth, but it's good to have.
It actually talks about choosing how secure to make a password based on importance and "the probability a given account password will be compromised", but I don't really see how users are going to evaluate the latter.