Yes, it would. This explains it best:
"If the Wii U was immensely popular we would probably put more focus into seeing how we could mitigate this, because it is a technical problem," Bach said. "It is a technical problem at its core because the Frostbite engine is not designed to run on that hardware, and the hardware is quite different from the next-gen consoles and the previous gen consoles."
But the Wii U is at least as powerful as current generation consoles and Frostbite 3 is designed to be scalable - we'll see current-gen versions of Battlefield 4, for example. With Frostbite 2 appearing to work on Wii U fine, does the argument about having technical difficulties really still stand up?
"From our perspective it's not as powerful as it should be to be able to run a Battlefield game," Bach responded. "Straight out of the box, as in Frostbite 3, it doesn't run that well on the Wii U, which means it takes a lot of time and energy from us that would then take from something else."
http://www.eurogamer.net/articles/2013-06-26-ea-and-nintendo-the-collapse-of-the-unprecedented-relationship
It wouldn't even need to be as powerful as XOne, I think even half of that would be sufficient for much better support (4850/5750 level GPU), no matter the user base (and no, WiiU is not 1/2x XOne, no matter what some silly individuals here are blindly believing).
