They no more 'support the troops' than Tom Cruise supports anti-depressant use.
It's been said before, but I will repeat it here because it pisses me off to no end. You cannot support the troops unless you support their mission - The troops are their mission! The troops are the ones pulling the triggers. They are the ones guiding the bombs. They are the ones planning the attacks.
If you disagree with what's going on, then you do not support the troops, period. It is intellectually dishonest to say otherwise. While I consider it distasteful, you're more than welcome to state that you support the troops doing X but not Y. At least you're being honest.
However, I cannot understand how insane one must be to sit across from a military hospital waving signs that say you support the troops but refuse to even talk to them. That takes a very special kind of asshole.
Hat tip Bill.
But I guess it comes down to what you mean by "support". It could mean something like "respect" or "appreciate" or "feel sympathy for".
because I bet there's at least one soldier over there who thinks the whole thing is a mistake, and that the mission is fundamentally flawed
Or "support" could mean something else.
Clearly, it doesn't meet your definition of the word
but hey, we all get to pick what we mean by something.
The short version is this: if you oppose the mission on moral grounds — that is, you believe that the mission is, itself, immoral — than you ought not claim to "support the troops". After all, you believe what they are doing is immoral. But if you oppose the mission on practical, strategic or cost/benefit grounds, then it’s perfectly consistent to say that you "oppose the mission, support the troops".
Mission support is key here. If you support the mission, support of those executing the mission is expected. However, if you don’t support the mission, it is logically inconsistent to support the troops charged with accomplishing the mission.