Can you access takeout.google.com with a suspended account?

It dePends why the account was suspended. In most cases, you cannot use takeout.

If you are allowed to use takeout, they link you to that on the account suspended page.

I am not sure under GDPR they are “allowed” to stop you.

I'm aware of the threat of Google's decisions and moved the bulk of my email onto self-hosted. Quite the learning curve but a valuable exercise. Then I did a takeout and dumped it all into <a href="https://notmuchmail.org/">"notmuch"</a>. I can search old emails in seconds.

If you live in the EU you could threaten them with GDPR, also you have a right to not have decisions made by algorithms without recourse. If you live in US you are pretty much fucked.

GDPR requires them to answer your request within 30 days. They are allowed to give you your data as it appears when they process your request.

Google's policies, as required by their privacy policy, are to delete all data associated with a suspended account in 30 days.

That means any GDPR request submitted after the account is suspended will be responded to on the 30th day, and the response will be "we hold no data about that account".

That doesn't sound like it would survive a fight with an Information Commissioner.

Note to self: bombard google with GDPR requests so i have monthly backups of my data.

Joking aside: You can schedule automated backups every other month using Google Takeout.

By scheduling you mean schedule a reminder to do it by hand?

No, it actually supports automatic backup and can also upload to third party services like Dropbox.

There is an explicit exception to the GDPR for duplicate/unreasonable requests.

It could be arguable whether monthly data requests are duplicate or unreasonable though. Anything more frequently, sure, but 1 month?