"If the screed is installed properly"
If every screed was fitted this way then there would be no problem, that's where the decoupler comes into its own.
My pictures above are nothing to do with a movement join not being fitted.
No run is more than 3m long & is broken across the door ways, it was a badly fitted screed.
It's true screed is rarely fitted by code. I suspect the reason for this is ignorance and/or price/time pressure.
However laying a decoupler just because it's stone and we have an anhydrite screed is also not code. This is my disagreement. It's not a prerequisite for a properly installed floor. Furthermore the decoupler is not a replacement for movement joints. Without movement joints your stone will crack even with a decoupler.
It is paramount that the OP inspect the screed, and have all issues rectified before laying the stone. And that all movement joints are kept intact and functional after the stone is set. This will ensure a long lasting floor.