Steam account arent linked but it says its linked

When a Steam and EA Account are linked doesn't mean that all your games from each platform will be transferred to each other. The account linking is necessary to launch EA Games purchased and downloaded through Steam. Regarding the downloads of the games, if you install one game from EA App and install the same game again from Steam, they will have different installation folders and you will end up with duplicate files in your system which shouldn't be necessary, so I'd suggest to download and install from one platform only.