I think that crazygamer isn't talking about more advances soft-eject mechanisms with cylinder, but about more simple ones that have no cylinder but only gears whose ratio slows the ejection. The grease is there to protect the plastic gears from wearing off, not to slow the rotation of the gears (although it does).
If the door is shooting out like there is no soft-eject mechanism, than gears are worn out and require replacement.
So, check the gears up close, and if they are not worn out use silicon lube, but if they are worn out than try to tighten them or adjust/move them closer if possible.
BTW, that bb on your avatar is same one as on mine - my first bbox that I got when I was a teen back in 1984.