It's really not that big of a deal. You can still control the DNS and decide what you set up. And if Google screws you over, they'd be shooting themselves in the face.
All you'd need to actually work would be email, so some MX records on a subdomain. Is it ideal? No. Is it better than all of your users having no way to verify that a Chrome extension is actually you? Infinitely better.
Except it doesn't more or less achieve the same result. Also, if it legitimately takes months of meetings to get through something like that, there's a serious issue with your company/process.
All you'd need to actually work would be email, so some MX records on a subdomain. Is it ideal? No. Is it better than all of your users having no way to verify that a Chrome extension is actually you? Infinitely better.