keeveek: And yes, GOG.com slogan "You buy it, you keep it / own it"
is a LIE. Welcome to the PR.
I'm not convinced we have ever had that as a slogan. We do say, "DRM-Free. Fair Prices. Customer Love." Our last slogan was, i guess, "DRM-Free Classic Games." Before that, I'm not even sure we had a slogan.
Do we tell you that you are free to use your game unhindered by DRM? Well, yes. But we don't say you're free to use your game unhindered by any EULA anywhere. These are specific legal contracts.
Yes, some games allow you to install them multiple times and play them via LAN; those very same games don't require a CD key to play online and--presumably--have a different EULA.
Some games don't. Their EULA tells you that you're buying a single-use license. As such, only a single person is allowed to be using it at a given time.
On to the root of your question, though: I would argue this kind of CD check for online play is not DRM. It's more like a philosophy of multiplayer design. Some programs are built to allow you to communicate with other players. Some aren't.
Arguing that JA2 has DRM because it's not designed to let you play it in the manner you want to because there's no online mode is incorrect. Likewise, I think that saying that a game has DRM because it doesn't have "everyone in my LAN can play off of my one CD" is fallacious; the designers elected to make the game a certain way. Either you play along or you go and buy another game.
Now, you may argue that any CD check
at all is DRM. That's a harder argument to defend against, simply because there are very differing opinions on what DRM is. Suffice to say, GOG.com does not agree with you in this regard, given how very anti-DRM we are.