It might be safe, it might work well and all, but it does defeat the point of 2FA, so I wouldn't want people to even know about it before they explored undeniably better and safer options, like Authenticator apps for their phones.
But to be fair, many people around the world only have one single device, so 2FA becomes a difficulty. But that's the point where I'm not knowledgable enough anymore to see what the best way of going about it is.
From my gut feeling, I'd rather put a dedicated TOTP App on a device than to use a browser extension.