Will an entangled system give different measurement then just correlation? I have read this question:
Correlation vs. entanglement for composite quantum system

Entangled states can produce nonclassical correlations, but this is not necessarily the case.

So far so good.

For instance, for a two-particle system of spinful particles with the constraint that the total spin is zero, you always have the correlation that if you measure the spin of one particle to be up (in one direction), the spin of the other particle will be down (in that direction). This is true regardless of whether the system is in an entangled state." 

This is exactly what I am asking. What more does in this case entanglement add? Will entanglement change the measurement other then what correlation of the total spin=0 gives?
These do not answer my question. 
I have read this question:
Why is quantum entanglement considered to be an active link between particles?
Quantum Entanglement - What's the big deal?
where Luboš Motl says in a comment:

Entanglement is nothing else than correlation between two objects ("subsystems") and this correlation is always a consequence of their mutual contact or common origin in the past. 

These answers state that QM entangelement is always based on a spatial mutual contact or common origin in the past.
Understanding quantum entanglement.. help me validate this analogy!

If we both choose to open our envelopes from the bottom, we always (or nearly always) find papers of identical colors.
  Now try telling a story like yours --- where the envelopes carry true information about what's "really" in the other envelope --- that fits these facts. Good luck.

Now this summarizes my question basically. What is the reasoning behind this difference between the two statements? One says QM entanglement is just correlation. The other one says it is not, because QM entanglement gives you examples in the envelopes that classical correlation cannot explain. Which one is right?
Question:


*

*Will an entangled system give different measurement then just correlation?

 A: (need 50+ rep to comment here)
I see some of what you mean. Here is a focal point in your question body: 
This is exactly what I am asking. What more does in this case entanglement add? Will entanglement change the measurement other then what correlation of the total spin=0 gives? 
You haven't read any clear description yet (that you understand) about the results of measuring entangled particles. You ask if every pair adds up to the same total. No. 
For instance, for a two-particle system of spinful particles with the constraint that the total spin is zero, you always have the correlation that if you measure the spin of one particle to be up (in one direction), the spin of the other particle will be down (in that direction). This is true regardless of whether the system is in an entangled state." 
This part of your question body explains that a system can provide these results if the particles are not entangled. So certain types of systems behave in that manner. The behavior has nothing to do with entanglement. 
If we measure a property of one particle we know something about it that is no longer a probability. We will then find the other particle is also no longer just in a probability state. 
That is entanglement. It means the two particles gain a fixed state when we measure one of them.  
The state they gain, whether it is spin-up, spin-down or any other position has nothing to do with the entanglement. The results are random, unpredictable, no pattern.   
