Given all the horror stories I've moved all but one domain off of Gmail (mainly to preserve my grandfathered G-Suite. I don't use `@ gmail dot com` for anything other than Google services. And if you are using GMail back it up! MailArchiva [0] is free for less than 10 mailboxes and works well. In this regard at least you still have access to your mail and can possibly prove something if those emails contain any identifying information (hopefully not, but you never know what will help).
If your email is that important to you then don't run it for free. Pay for someone to host it - I've been more than happy with Fastmail for many years and also use paid for ProtonMail accounts with custom domains.
At the end of the day if you don't control the domain and don't pay for the service I don't feel like I can trust the provider to do the right thing or expect any level of support. Bring email back from the monopolized "free" tier!