EA making its own console would be suicide, so unless they're run by ex-WallStreet CEO's it's not going to happen.
EA would lose some of its most important lisences like FIFA if they only develop for their own console and it just doesn't have enough interesting games to warrant a console.
Main rivals Activision and Ubisoft would probably be happy to take over the gap on the other consoles, so might wait a long time before developing for an EA console.