Battlefield 6 Purchases Question

Do purchases made on Steam will also transfer on EA App ? 

I was planning to buy some Battlefield Coins from Steam , because I have some money in the Steam Wallet , and I was curious if it will transfer to Battlefield 6 on EA App since I have the base-game purchased on EA App

I've played once Battlefield 6 RedSec on Steam before buying the game so that means I have the Steam and EA App synced with the same account?