I'm pretty sure an "even" cubic 7x7 is possible, but there would have to overlapping. Tony Fisher made an "even" cubic 6x6, but I can't seem to find the post on TwistyPuzzles. Maybe he removed it? I searched through his posts from June 2008, through the next 12 months, but didn't see a picture.
http://www.twistypuzzles.com/forum/search.php?author_id=227&sr=posts
But anyway, he simply took a V-cube 6 & sanded down the sides until all the layers were all equal. As a result, the center-edges, (the pieces that are always popping out) looked like there were carved down. Those carves then made room for the corner stalks to stick out.
So it is a possible to make an "even" cubic 7x7, its just that the corner stocks would stick out at 45° turns & those centers would look weird.