It's just an expression of the conservation of energy. Much in the same way the double slit experiment conflates a particle transporting itself through two windows at once, so too, do these experiments conflate the polarizers as causing the effect.

Ask yourself: if you construct a gun, with two diametrically opposed barrels, with exactly opposed rifling twists, and you aim the gun at two opposing (but identical) abrasive knurled metal rasp targets, such that if the bullet spins one way, the ricochet off rasp target will send it to a blue target, but if the bullet spins the other way, the grain of the rasp target is such that the bullet is sent to an orange target, will you be surprised to find that the behavior of the projectiles remains consistent?

Fire those bullets out of that gun, and as the bullets leave the opposing twists of the barrel, and the spin of the bullets encounters the friction of the knurled surface, they will consistently be sent in whichever direction the spin of the barrels rifling puts them. When one side sends spins the bullet to hit the blue target, the other barrel's twist always puts the other corresponding bullet onto the orange target, by bouncing it off the polarizer rasp.

So, now, to shrink downward to the realm of particle physics, what we find is that the ballistic particle guns are such that the emitter source is an array of many guns with varying rifling twists, but like pulling a lever on a slot machine, we cannot know which of the guns embedded in the radiation source will fire next.

We won't know the turn of the rifling of the gun's barrel prior to whichever one happens to go off. We stick out our rasp target to have it send the bullet to a colored target, and we declare that the polarizer rasp directed the bullet particle, but not really. The emitting source's gun barrel imparted the spin. The polarizers induced behavior on particles that would have behaved as reciprocals anyway.