This particular bank brought down just the state one. That was the reason it took so long to get the money.
It was recapitalized immediately so that the money from the Federally guaranteed funds continued. More or less unabated.
The one-company standard is only if you are talking about a single business (be it Facebook or Enron). A single provider of mutual funds (assuming they offer enough different types of fund is not as bad. Mutual funds (at least in theory) give you a lot of diversity within a specific type of stock (they might own Ford, GE, Apple, and other similar companies in the Big Cap fund for instance) and owning different types of MF (a little big cap, a smidgen of small cap, a touch of foreign and a bit of bund funds) covers that kind of diversity.