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bcc1234 - 2:32 am on Jan 19, 2003 (gmt 0)
Also, some log analyzers try to access the target site and check pages or images or other stuff - that would also require an internet connection. You don't need it for anything else a log analyzer might do.
If your app tries to resolve host names then you need an active tcp/ip stack and a dns server (pretty much just be connected to the internet).