I commented about this very sentence on a Tim Andersen article: https://medium.com/the-infinite-universe/we-dont-understand-entanglement-c8a0a3d5e928

I think this is the other way around: conservation laws are a consequence of entanglement.

All the emission-flight-absorption processes we imagine as energy or information exchanges at the speed of light are, at the same time, instant action/reaction events for the massless quanta involved. From their perspective, time does not exist, so they don't go anywhere, or loose any energy, because they can't change or evolve. So they have no other choice than to comply with conservation rules.

Any transference that seems to take place at the speed of light to us is getting something from point of origin and putting it at destination point with no modifications. So any phenomenon that we experience as arriving to us at the speed of light (no matter how long it seemed to take, or how distant its source appears to be) is exactly as it was when it was created. That's why any entanglement event is perfectly correlated to all related detections, regardless of when or where they take place: the value of a property can not change if it propagated at the speed of light. The point of origin and the point of destination are entangled just by being connected at the speed of light.

So the universe runs on entanglement under the hood. Any entity is either massless, or its perturbations propagate through the different fields at light speed, and proper time is zero in all these cases.

Everytime we think of an interaction as an energy or information exchange that propagated at the speed of light, we should be thinking that emission point got entangled with detection point instead.

We wonder how conservation rules are enforced at a distance, which communication mechanism makes it possible. The answer is that there's no "at a distance" for massless quanta, so there's no need for a specific mechanism to communicate in space or time from their POV. The entanglement event, and all the information spreading through the universe at light speed from there are one and the same thing. All related detections have no other choice than to comply with this fact.

The conservation rules we observe are a direct consequence of entanglement, and not the other way around.