I'm no security expert
We can both agree on that. The security issue is allowing a browser extension full control over your bitcoin wallet. This opens your bitcoin application to malicious attacks from the developer, or someone forging the developer's identity.
Security issues aside, this looks very nice, I'm sorry if I won't test it
Considering the fact that you use your browser to access financial websites like bank and PayPal, I think it's silly not to rely on Chrome to provide the state-of-the-art security when it comes to security around the apps.
It's your choice, but before you make wild claims that it's insecure or that it's open to malicious attacks, better check your facts.
And unless someone manages to steal my google account, you can trust the "Install App" on the chrome web store. That's why I chose it by the way, it allows me to concentrate on making Safebit and not trying to re-invent the wheel when it comes to secure distribution and quality assurance and user control.
Again, before making claims that do not hold water, check your facts...
And having said that, I am no security expert, the people who work at Google and make sure that these stuff are taken care of, are security experts (some of them).