I had a string of similar requests with Heroku between Feb 2011 and June 2012, before we migrated off their platform.

I would complain about h12 errors, they would tell me to upgrade my resources and/or that it was my problem and there was nothing they can do. We ended up with a solution that was easily 10x as expensive (over-powered DB, too many dynos) as our initial configuration, and it still didn't fix the issue.

I'm happy to provide the full text support requests, but they don't tend to be quite as juicy as the one you posted.