No, why would they write in Paleo Hebrew during the David Kingdom and or in Proto Sinaitic script before that if the 10 commandments were etched by God in something else?
Your original point was that the Commandments had to be written by whatever language Moses would have chosen to use. My point was that that was not the case - they were written by God and he was not limited by Moses. They may have been carved in emojis for all we know. Why did God go to the trouble of writing the first set if he knew darn well that Moses was just going to break them?