Yeah, they'd lose Fifa, they'd lose Madden, they'd lose NHL, they'd lose Star Wars. Pretty much all of their licenced games would be gone, so they'd be left with in-house IP: Dragon Age, Mass Effect, Battlefield.
It would probably get less 3rd party support than Wii U.
In short, an EA console would flop within a year, which is why EA has never done it and will never do it. Hardware is a mug's game which generates little by way of direct profits, unless you're a Nintendo handheld.
It is more likely, though not very likely, that EA would go into a joint venture with a company like Samsung to launch a new console, with EA's in-house IP exclusive. I give EA going it alone with a console about a 0.001% chance of happening. I give a joint venture about a 0.01% chance of happening.
“The fundamental cause of the trouble is that in the modern world the stupid are cocksure while the intelligent are full of doubt.” - Bertrand Russell
"When the power of love overcomes the love of power, the world will know peace."
Jimi Hendrix