I guess... but both of those games are holding it two-handed, which really seems to be missing the point.
Two handed pose reads better in first person games. Holding a gun up with one hand always looks weird (unless there are idle breaker animations (relax animations)), so animators tend to pose with both hands even with sidearms.
TEC-9 was in the Matrix. As such, that was the year of the TEC-9 because it's one of my favorite movies ever made. Similarly, it was also the year of sunglasses, the year of coats, the year of slow motion, the year of green, the year of the computer, the year of the machine, the year of the pills, the year of the rabbit hole, the year of women in red dresses, the year of making oatmeal and pretending it is real-world food and so on and so on.
Are you talking about the lobby scene? If so I think those were Skorpions.