In which case, the basis of the argument is faulty.
I feel like this is an exercise in missing the point. The OP's whole idea is that quantum events aren't actually random but simply appear random to us.
Its a hypothetical philosophical idea. If God controlled quantum events then they aren't random/regular, right? Why is this flawed to you?
I think we need to get past "random". As I said, quantum effects are regular. Do the particle in a box problem, and the position of the particle is not "random". The particle can't be at any random location in the box. There are probabilities involved. But there is no cause to put the particle at any particular position.
How are you so sure that there is no cause to put the particle at any position in the box? I don't understand how you make these absolute statements.
Also, my box idea isn't an example of quantum regularity or quantum randomness, its an example of entropy.
Because the photon, which is like every other photon and doesn't have a brain, can't "know" when it is supposed to go thru and when it reflects. That photon went thru once. Then, by cause and effect, that same photon should go thru again. But it doesn't. There's no difference between photons that would provide the cause.
So you're saying there is no cause at all that drives this photon behavior. And the whole point of this thread is to say, "What if there is?". You're just saying, "Nope, there isn't because there isn't."
If you asked someone several hundred years ago why things fall towards the Earth they may have said, "There's no cause, it just is that way. Chairs and rocks don't have brains so they can't "know" to fall towards the Earth."
But now, there's a more complete theory which says that the warping of spacetime is the true cause as to why things fall towards the Earth. So, who knows? Perhaps there is some sort of warping of the 5th, 6th or 7th dimension that causes photons to "know" when to reflect. Why is this such an utter impossibility?

I see no reason we cannot have effects without causes. The benefit is that it makes the future open. Strict cause and effect has everything determined by a previous cause. There are no surprises and no choices. The rock must fall because of gravity. I must choose this sentence to type because of all the previous causes and effects in the universe.
Isn't cause and effect one of the central bases for Einstein's General Theory of Relativity? The entire reason that the speed of light, c, must be constant is to preserve cause and effect. Without this speed of light constant, you can have things occurring in Minkowski spacetime that are effects of future causes. The whole premise of having hyperbolic spacetime curves that approach the line y=x is to not violate the demands of causality.
Axiom of Causality - Wikipedia, the free encyclopedia
Quantum mechanics "appears" to violate this but it doesn't seem the least bit settled. The uncaused effects of quantum mechanics could still turn out be caused by something if Einstein's theories and QM can be merged.