I don't play video games for the most part, but the other day I was playing a demolition derby racing game with pedals and wheel and I found my lowest heart rate of the previous 4h (standard Garmin metric) was during the race (almost certainly during a 2min break between races though).

I do see how FPS can be really stressful and get you "amped up" but I find that doesn't tend to lead to a particularly high heart rate.