Well, not exactly. The GW2 client remembers the password for you, thus I don't have any reasons to remember a random collection of 4 words. Except when you are forced to reinstall it, or install it on another machine, you suddenly need the password again.
The result is that I now have an email I sent to myself, in a folder, which very clearly states "GW2 password is 'aaa bbb ccc ddd'". It's in a Gmail [apps] account at least (so as per the article it's reasonably secure), but it's really no different than writing my password on a post-it on my monitor from an *actual* security standpoint.
Thus in trying to "improve" security, they force me to have a very infrequently used password that there's absolutely no chance I will ever remember, so I have to store it in an alternate location. Either that or pretty much every time I [re]install the client I have to "forget password", at which point either they're relying on absolutely nothing more than my email account's security, or they randomly require that I send in some kind of identification and wait 24+hrs like my wife had to a month ago.
FAIL.