I think we're over-emphasizing the effects of War Weariness. First of all, we're not even out of Despotism yet, so it won't effect us one bit. Second of all, we could do very well in Monarchy (another government unaffected by WW) well into the Industrial Age, at which time the GCA annoyance could easily be done away with.
Let us proceed in a manner that best suits our purposes and not out of some knee-jerk reaction to a fear of what GCA might do.