Zone Alarm works fine for me; and remembers trusted zones on a LAN. I have two installations: one on a dedicated file server, and one on my laptop which I use on two geographically different LANs where security is high - absolutely no problem.
Norton/Symantec Internet Security/Personal Firewall are both designed for workstation use and, though installable, require manual starting on any server installation, but I've never had any problems with either app. failing to remember trusted zones.
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