We'll have to disagree there. I'd be very surprised if they did any more than looking at their log files -- most likely using tail -f -- as the 100 million mark approached.
Admins will, and are completely expected to, look at the data - if only to make sure everything is working.
How does looking at individual files help to confirm that things are working? Once you're operating at scale, looking at individual files doesn't tell you anything useful; if there's a big problem users will notice it before you do, and if there's a small problem the files you look at probably won't be in the affected set.
Forgive me cperciva, but to me your post looks just like a giant plug for your own service.
Was I plugging Tarsnap? Sure; I mention it every chance I get on my blog. But I didn't write that post because I wanted to plug Tarsnap; I wrote it because I saw the trust-is-fragile post on HN Daily and felt that revising their privacy policy wasn't the right response. (If I had noticed that post when it was first discussed here, that blog post would probably have been just a comment -- but since I was about 24 hours late to the party I figured that nobody would read a comment I made here.)