Obviously not, but this has nothing to do with Quantum mechanics if it's just high energy photons hitting a tube. That's ordinary counting. It doesn't matter how high energy photons or other specific ionizing particles are behaving on their way to being registered by the Gieger counter, just that anything at all strikes the Gieger Muller tube to create a click.
It's no different than counting apples falling from a tree but on a much, much smaller scale, but not as small as you suggest. What the Gieger counter measures is if their is a an electrical charge in the Gieger Muller Tube, which cause and effect only happens immediately/briefly after an ionizing particle strike. The presence or absence of electricity is freakishly massive compared to a high energy photon strike.
I can tell that the power is on in my house not because I can sense the motion of subatomic particles but because there is light radiating off my monitor at the moment that is dependant of the presence of subatomic particles behaving in a certain manner.
Getting back to those 1000 emhs, I did say that environment was artificial and identical, which is impossible in the real world, although not impossible in a video game, which is what the Doctor is, and possibly the only manner in which a Gieger counter series of clicks could be identical twice over, if the counter is placed in an identical artificial recreation of the same physical location at the same point in time with respect to the beginning of the artificial environment which will make each Gieger counter yield the same clicks and data because the same photons are striking at the same rate because it's a do-over better than time travel.
I'm sorry that I did not know that Gieger Counter clicks represented actual photon strikes, but that doesn't change that the fact that the cpm for two Gieger counters resting beside each other will resister relatively identical radiation levels even though different photons are striking each Gieger counter because consistency is the fricking point the scientific method.
I'm almost certain that you are not finished being a smart ass, so please continue.