Maybe I'm looking at this wrong. I know that we use Lift = weight. So, it follows that at zero G, lift = 0. But, if the wing is at an AoA that produces any coefficient of lift, per the lift formula, and there is dynamic pressure (i.e. relative wind over the wing), there is lift being created, right? And, if lift is being created (and I'm talking about negligible amounts here, from a theoretical perspective), there must be induced drag being created, because you can't have one without the other, unless you have a wing with infinite span.
So, the way I figure, the whole "lift = weight" can only exist when G does not equal zero. Now, when G is equal to zero, no amount of lift is required to keep the aircraft "flying", but given that the plane has forward motion in some direction, there must be some lift being produced, unless the attitude of the aircraft in that direction is such that the Cl of the wing = 0.