Lifthrasil: Say: playing via internet requires a CD-key, but playing via LAN doesn't. In that case the LAN-mode would be DRM-free multiplayer and therefore the game should be listed as DRM-free (LAN).
I'm not going to debate it here further but
FWIW, if a game has internet play (with DRM) and LAN play, then there is almost definitely some artificial restriction. IP based games (i.e. anything made in the past 25 years or so) normally do not care or even know whether a given host is on LAN or on the Internet (or both), so if a game can do one, it should be able to do both. It's just that they artificially (try to) prevent you from using the fully Internet-capable "LAN" code on the open Internet.. of course, you can work around it just as you can work around DRM with cracks :-/ (It doesn't help that there is no good definition of LAN vs Internet, so it's anyone's guess whether a "LAN" game actually works on
your LAN.. does it require a specific IP range? Same subnet? Ethernet broadcast packets? Some other type of broadcast? Etcetra. LAN does not really exist as a concept at the IP level, it's more about the physical structure of the network, which is largely invisible to applications unless they go out of their way to snoop around or do something very non-standard)
The truth about IP networking is that your application asks your OS to connect to a specific IP (or just send a packet to a specific IP, when using UDP) and the rest is up to your OS. That IP may or may not be on "LAN" but it's not the application's concern. How the packets end up at their destination is something the application doesn't really control.