I don't think that's a fair criticism of Lastpass for having "security issues" for the following reasons:
1. In the blog post you linked, no user passwords were at risk. They were being abundantly cautious, which makes sense since they hold everyone's passwords.
2. In the talk you linked, this is a inherent problem with storing keys on your local filesystem and not a problem with Lastpass. 1password is also "vulnerable" to this attack.
3. This current phishing attack is not a vulnerability in Lastpass itself, or anything wrong with their cryptography. As the author points out, anyone who falls for this will receive an automatic email notice (if 2FA is not on) from Lastpass and if you have geographic restrictions enabled this attack won't work at all (note 1password does not have these features).
4. Storing encrypted data in the cloud is not inherently a vulnerability, although it increases your attack surface. Many users of 1password also do this with features like Dropbox sync, and Dropbox provides much less rigorous access control compared to Lastpass.
5. 1password has had it's own share of security blunders. The most recent being their database format that leaks all of your account names and the URL they are for, which 1password defended was for "performance reasons". http://myers.io/2015/10/22/1password-leaks-your-data/
EDIT: Updated to mention that alert emails are only sent if 2FA is disabled.