I'm not saying Krypton is bad, just that you're installing an extension that (I imagine) interacts with a server to send a push to your phone. It's a very different security model than keys, that require no extension and don't interact with any 3rd party.
Update: I'm seeing that my comment is read as negative, and I don't want to give this impression. I think Krypton is great, I use 2FA over push notifications all the times myself. I was just trying to reply to the "has it been audited?" question.
Edit: changed chrome extension -> extension according to comment below.