I don't think it's only (or mainly) a matter of accountability. In general, volunteer services are given for the benefit of a community. Services targeted to individuals (except casual social interactions like answering questions) don't attract much volunteer effort, and are generally provided by for-profit companies.
The examples cited so far are basically special cases of this. Google needs to be able to enter into contracts for hosting, bandwidth, power, uptime, etc, so it needs to be a real corporation. When you entrust sensitive personal data, you want an ongoing obligation to keep that data secure, which you can't get with open-source. Additional examples might be corporate support contracts, support for certain platforms, and any service dealing with payment or finances.
Basically, open-source is good for sharing what people have done, while corporations are good for determining what people will do.
There are high stakes, business wise, in web search. But then again, that was just as true for operating systems and web browsers. So cross that one too.
Google is resource intensive. Open source is good at providing manpower, but not so good at sustaining huge running costs of other type. But then again, Google started quite small, and I'd guess Wikipedia, Usenet or Debian need more resources than many small companies. So, is it only a matter of size? In any event, this doesn't apply to Aaron's new startup.
Anything else?