You could try adding the EA app as a non-steam game

Nope, everything works perfectly, Battlefield Hardline ♥♥♥♥♥ up in weird ways when you had an expired Origin Access version along the Steam version but thats the only game i had issues with, everything else works, your saves and achievements sync and you continue from where you left off.
If you don't care about syncing and have never linked your account you could also just make a new account to link to Steam so you have two copies of the games which can be useful in some cases, rebuying on the same account just gives you duplicates in Origin, you can still separately install and play both but obviously only one session at a time.

Thanks for confirming no conflicts with non MP games.

Originally posted by Xenophobe:

Thanks for confirming no conflicts with non MP games.

MP games work too, all of them, only BF Hardline doesn't work properly without lots of messing around if you played it previously with an expired Origin subscription and then buy it on Steam, if you never played it or have it bought on Origin it should be fine from what I heard.

mine conflicts and created new user name same games and lost all my origin progress

all 7 seem to be working as expected and now I can make proper mouse/keyboard controller configs for the games that don't have native controller support.