Well, I disagree with your disagreement.dcollins said:
This has been argued before, but... I disagree with the foregoing. The fact that it doesn't state it's good for 3D means there is no reason to presume that it is.

First off, even though the game is played on a 2d map, a 'battlefield' is not a 2d surface. Even ground-bound creatures exist in a threespace. To my mind, "half the battlefield" implicitly means "half the three-dimensional space in which the battle is occurring." In the absence of an explicit rule one way or the other, each of our initial impressions are equally valid.
I view that as flavor text, since it doesn't mean anything in rules terms. Since there is no such thing as facing, you do not have a "front" at all. It's impossible to put the shield in a nonexistent direction, so the bit about being "in front of you" is a void statement, and can be ignored.
The spell does explicitly state that it's "in front of you".
That's because the huge majority of battles are fought on the ground. When you're explaining a rule's basic operation to someone who doesn't understand it, you do not throw in unnecessary complexities. Especially not when that would at least triple the number of required diagrams.
The language about "half the battlefield" must presume a battlemap-type combat field in 2D. The Sage's expansion and graphics for these rules in Dragon magazine make no exception for position the shield above the caster.
Anyway, as you say, this has all been argued before. I won't tell you how to run your game, if you don't tell me how to run mine.