Foreign military deployments are very politically unpopular in South Korea.
Memories of SK's involvement in the Vietnam War and the extreme unpopularity of SK's tiny deployment in Iraq make any sort of "boots on the ground" view politically untenable.
Furthermore, South Korea can better contribute (and is) by providing material, intelligence, and funding.
Figured it might make sense as a volunteer only operation. But maybe even that would not be practical.
It was pretty amusing to see the fake news saying we'll deploy spread all over the place in the western media. And then the disappointment and hate we got once they discovered they've been lied to.
That is why I suggested as a volunteer operation only, especially keeping in mind the state of military conscription in SK.
I can definitely see how that would really look like a shit sandwich from a SK perspective.
I was looking at it as more a way to capture and conserve martial proficiency, but you are obviously right on with the political nature, as well as the optics and narrative that would likely become the defining aspect of this kind of involvement.