The topic of adding cross-progression to Apex Legends has come up again with developer Respawn Entertainment planning to introduce cross-play across all of its available platforms starting sometime in Fall 2020. Cross-play will be available for Steam, Origin, PlayStation 4, Xbox One, and the Nintendo Switch, which is also releasing at roughly the same time as cross-play.
The concept for cross-progression will continue to not be available in Apex Legends, regardless if you use the same account on a different platform. The ability to play with your friends across different platforms will not allow you to hop onto one away from your primary account. If you play Apex Legends from your PC Origin account, you won’t be able to take all of the cosmetics from that account to your PlayStation 4 and play with all available. Apex Legends is free to play, so you can still play it from different pieces of hardware, so being able to play is not an issue, but having the same account level, battle pass, Legends, and weapon skins won’t be available.
It’s unlikely Respawn will make it an option it explores because it has stated in the past that this will not be something available to players. Much like cross-play, Respawn would probably release an official statement to inform its entire player base. However, unlike cross-progression, Respawn spoke about including cross-play into Apex Legends in the past, but it would not be available at launch.