EVE is a very special game. I’d attribute the rush more to all interactions being unscripted, fights to occur relatively rare and having pretty tangible value on the line.
It definitely doesn’t compete very well for attention.
Personally, it was quite effective at garnering my attention - so much so that I cancelled my subscription when I returned to college.
While I've enjoyed many FPS' over the years the rush just doesn't compare with my own physical experiences. I cited EVE because - in my personal experience - it did manage to very briefly simulate that sense of danger.
The only other occasion I surpassed that level of adrenaline was in Iraq in 2007.