I wonder if it would be possible to allow people to ssh into the edge servers with enough access to verify no access logs are stored but not enough to cause any problems. Admit i have not thought it through but would be cool having people verify the live environment while running.
You can't really verify anything in this way. SSH is just a protocol, you're trusting the SSH server to give you a shell inside the real production environment instead of giving you a shell inside some elaborate simulation of a production environment. It's about as trustworthy as a policy page saying "we don't keep logs".