If someone's production site, thats been around for while, had a bug like this that can be caused by what you describe, I'd love to see how many real users they have. I'm sure its possible under certain circumstances, but its definitely bad engineering that would be caused by literally any traffic.
That said, while obviously you want to avoid triggering the bug since it offlines your data source, this is definitely in the site's court to fix and could easily be triggered by normal usage. Some people browse with cookies disabled, especially since the EU passed its "cookie law", requiring sites to get consent before storing a cookie on visitors' machines. If you've started to notice more sites talking about cookies over the last year, that's why. [0]
[0] http://ec.europa.eu/ipg/basics/legal/cookies/index_en.htm
Could also be something like storing hibernates second level cache in session. Unfortunately I've seen this, a significant chunk of the database was being copied into each users session.
I'd consider that a bug not a feature but I still think it's incumbent on me, the guy scraping the website, not to trigger it.