@LitoLito26
Quick answer, no and no.
For some EA Games, you will have that game bought on Steam in your Origin library, with the Steam logo attached. I played a little experimenting with titles. For instance, I bought Mirror's Edge on Steam and it doesn't appear in Origin library. I bought Need for Speed Heat on Steam and had it on Origin, apparently, they play independently. Finally, I bought Burnout Paradise on Steam and it miraculously appeared in my Origin Library...
The reverse doesn't work. I have lot's of games in my Origin Library, all of them available on Steam and none shows up there.
For consoles, it is the same old story, there is no interconnectivity between your PC library and any console version of a given game.
If you own a console version of a particular game and want to play it on PC through whichever PC platform (Steam, Origin, Uplay, Epic) you need to buy it on that platform. The only exception where you have some interoperability between PC and Console is the Xbox which has a unified platform with the Windows PC platform, but for obvious reasons, both Windows and Xbox are produced by Microsoft.
I am stating all this from my own first-hand experience. I have; Steam, EA Play Pro, Uplay+, Playstation Plus, Xbox Live Gold, Nintendo Switch Online, PS4 Pro, Xbox One X, Wii U and Nintendo Switch. So this is factual and not hearsay. (Unfortunately, I don't have enough time to enjoy it all...)
