Games that explicitly had shooting, or killing were not really acceptable.
Add into that spiritism, and basically all you're left with is sports games (and even they could be bad! Anyone remembers Carmageddon?) Spiritism is really widely defined as anything that can't be done in real life - and almost every video game has such component. Some form of magic is almost always present. Video games are made on purpose to be different from our life, and that purpose is not to have us practicing spiritism.
Outlander, your experience is perfectly in line with JW reactions. I was counseled against playing video games in general, and the elders talk about them as filth. They quoted incessantly that "Jehovah hates those who love violence". You are perfectly right, they can't wrap their head around the idea, that someone can play for example a shooter, but in real life he wouldn't kill a fly.
The elders told me: "Do you think if you fall into water, you could really come out of it dry? In the same way, do you think that you can act out violence in games and don't have them affect you?" They also loved to quote cases where some kid with psychological problems killed someone and said he learned it from video games.
Edit: I just re-read the tripe from the YPA article. It says:
What moral lessons is this game teaching me?
Well... here's the thing. The vast majority of the games focus on good winning over bad, to not give up no matter howbad things get, just keep walking the right road, even if the whole world is against you. I don't feel that any game has the message, that killing is ok, it's just a game mechanic.