I doubt it, it looks like the content of the postings violated the policy; 'Screw 0bama' likely would. If the content had been verbal instead of written, no problem. Ignoring the counseling repeatedly is what got him an OTH.
Anybody who has served in the military knows that Article 34 and possibly others can pretty much get you thrown out for nearly anything. I was counseled for a potential article for getting a sunburn prior to an obligatory Jump Tower training exercise. So, like a good little paratrooper, I took extra strength Tylenol and yelled a little louder.
I can’t really relate as I didn’t have time to buck anything, let alone be political, when I was in.
But I just can’t take “Screw Obama” as anything worthy of kicking somebody out. I find it laughable and capricious.