While I don't have the Burris Eliminator scope, I would like to bring up a couple of points that have been mentioned in this thread.
I would like to get the Eliminator at some point, but currently I use a Bushnell Yardage Pro Range-finding scope that uses Mil-dot as the reticle and has turrets that dial in the distance based on your ballistics. This is a proven system to 550 yards on my rifle. Since I usually hunt large farm fields once crop is harvested, the instant ranging feature is very nice since there are usually a lack of landmarks to range by. So, my landmark is the animal I am about to shoot. And if the battery is dead, and I have time, I have Mil-dot.
One of the points that were made by a couple of people, they are saying use a rangefinder and dial in the turrets as separate steps and devices. Then someone else said what happens if the electronics die. Sure it could happen, but the scope reticle is still there and your Leica can fail also. Then what, would you stop your hunt? If you truly know your equipment, then no. Everyone has different needs and experiences. If you choose to carry extra gear, fine. but some do not have the same needs or hunting style.
I will say in my own experience that the scopes are worth the money and the range-finding ability is much better than the hand helds. You can doubt me if you wish, but I can use my Bushnell and range a deer out to 900+ yards and have ranged coyotes out to 730 yards because of the stable platform that the scope sets on. With the gun and my scope stable on the bipods, I will always get instant ranging that is accurate to within 3 yards. I did test this as well by using GPS to my points of range. Holding a Hand held unit still is not easy and I know this because I have had many of them and they all were hard to range with. I have had Bushnell, Lieca, and currenty have a Leupold RX3 that is a closet fixture now.
The weight of the scope is due to a heavy steel that it housed in. On the other hand, having a rangefinder in the scope makes for certain that you don't leave it in the woods, forget it at home, or some other fate. It will always be at hand and not some other item to carry in your pouch. I do carry an extra CR2 rechargeable battery with me, but that is really all I need. My calls weigh more than my gun, scope and rangefinder.
On another note, The laser range finding function is useless if you are using a PS22 or some other scope mounted Night vision device.
Unless you have used one, it isn't wise to discount the usefulness of it. AS these scopes evolve, they will get better and handle inclines and wind. I would also expect temperature to be added at some point. I would bet on it in fact. The rest can still use their head to calculate the trajectory if you want.