I think it's a shame that people can't recognize the term actually does have meaning- broad though it is- and seem to rely on some tortured parsing to support their position that it is 1) meaningless, 2) an insult against videogames, or 3) an attempt to troll or deliberately confuse others.
The latter two criticisms of the term have questionable merit. The first, however, is demonstrably true. It may have personal meaning, but it does not have an accepted meaning, and it's just as likely for two people using the term to ascribe different meanings to its use as it is for them to ascribe the same meaning.
It would be
great (well, not great, but at least acceptable) if "videogamey" meant "similar to video games", but it doesn't. Many people have used the term to refer to things that are not at all like video games. It
more often (but, again, not uniformly) is meant as "makes me personally think of video games in a particular way", which doesn't do anything except tell us that it reminds you of video games. This is useful, perhaps, for understanding how you (
collective you) view video games (since you compare your experience with video games to 4e) but not useful for understanding how you view 4e (since we don't know what your experience with video games is, or how 4e reminds you of them). And, since it's doubtful that your intent was to explain how you feel about video games and was probably to explain how you feel about 4e, it comes across as a failure of communication. And, since communication is a two-way street, we're letting you know that in order for your comments to make sense to the people reading them, you need to use terminology that communicates your opinion better than "videogamey" does.
You can
say that you understand what someone is saying when they call 4e "videogamey", but you're really just making a
barely educated guess. The term just doesn't give you anything to go on.