If you e.g. failed to respond to a mail mistakenly sorted to spam.. you will own the process failure, even though it lies in their hands to manage spam filtering to Gmail accounts.
Personally, I think we need independent arbiters with legal formalism over this kind of thing. It's beyond normal to have the same contracting agency as judge, jury, executioner and keyholder of the digital assets.
Use Google takeout. Don't wind up captive to your data on an at-will closure.
If you try to work around this informally by eg making another account and resubmitting the same things you may do yourself, your case, irreparable harm in their eyes.