I believe having different currencies would be a win for gameplay, immersion and realism. At the start (and throughout) the historical setting of EU4 the vast majority of political entities did not have their own national currency like today, instead there were currencies used by numerous and diverse kingdoms.
Gameplay -
The value of a certain currency would depend on many factors, the number of nations using the currency, the gold/silver trade goods owned by nations using the currency, and the individual financial situation of nations (debased currency, inflation, bankruptcy)
An example: Ming, along with most of east asia are using the Guan currency, Ming get's into a big war and can't pay back it's loans, Ming debases it's currency (the Guan) to pay the debts, this means that all of the nations using the Guan will have to deal with the currency being worth less, either they could attempt to increase the value of the Guan by extracting gold/silver adding value to the Guan, adopt a different currency, or perhaps create a new currency which would be costly, but you'd have much more control over the value of it.
Another example: Spain, using Ducats, extracts massive ammounts of gold and silver from the new world, this increases the value of the Ducat, every nation using the Ducat as currency will benefit from this. And new nations might want to adopt the Ducat. Let's say the ducat is worth double as much as the Dinar (used by most of the muslim world) if Spain was to lose a war to Morocco, and Morocco demanded 500 Ducats in a peace deal, this would convert into 1000 Dinars. At the same time, if spain was to send a gift of 200 Ducats to Tunis, it would convert into 400 Dinars for Tunis.
Adopting your own currency could be a double edged sword, sure you would have higher control of the value of your currency, but if your nation in perhaps a lost war became financially ruined, your currency would ammount to very little. Being part of a more largely used currency would mean that it would take much more for the currency to change value drastically.
Below is a crude map I made quickly, showing roughly what currencies were being used where at the 1444 beginning:
View attachment 581600
Thanks for reading, I'm aware that EU4 probably won't be having big updates anymore, but I felt like posting my Idea anyways.