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Both Hummingbird and the FastCGI (Static Server Cache) offers the same kind of Page Cache, and one gets disabled when the other is active on the site.
According to the documentation, Static Server Cache is faster than any caching plugin, yet, both the Hummingbird Wizard and the Page Caching Page in Hummingbird are not clear enough about which is better or recommended, and users may think that disabling the Static Server Cache is the recommended option.
It would be great if the Hummingbird Wizard and the Page Caching page in Hummingbird were more clear, and provided more information about which kind of Page Caching solution to use.