@Naklofen
This what EA / DICE says:
CROSS-PROGRESSION
In Battlefield 2042, your progress and items you’ve earned in-game follow you wherever you’re playing as long as your accounts are all linked to the same EA Account.
So, if you’re playing on PC, Xbox One and PlayStation 5, you can switch between them and not worry about losing progress or not having access to your favorite gun with the sweet weapon charm you just unlocked.
If you upgrade your console, your progress and items will follow you to your new console too, as long as you’re still playing on the same account.
So I'm guessing this applies to PS4 as well. The key is that it's all tied to your EA account, not the platform or copy of the game you're using.