A matter of interpretaton. Quantum "randomness" is not chaos, it's just a matter of not being able to predict "individual" events at the quantum level. In macro sized numbers (on the order of 10^21 and more particles, things are quite predictable. Sort of like ideal gases. Individual particles are doing the old random walk, but the mass obeys certain laws.
Yes. That we cannot predict the individual is of little consequence in the overall situation that the result, the macro is predictable, “seeable” by science.
And the fact that there is a Quantum Theory also illustrates that there is a principle(s) governing chaos or pure randomness.
No scientist, I believe, would say the universe is completely random. (Else “we” wouldn’t exist.)
So, I disagree that it is a matter of interpretation that chaos does not rule the universe. It is de facto ruled by some organizing principle(s). That we have not formulated it precisely does not alter this.
Also, we have the competing relativity and quantum theories and the search for unification.
All of this, I believe, proves Einstein’s basic point (though he may have disbelieved it’s literalness on the quantum level).