I actually think John Byrne and his successors accomplished that very thing in the post-Crisis comics. Clark was burdened so heavily by his decision to execute three genocidal criminals that he suffered what amounted to a psychotic break, and subsequently exiled himself to deep space for months. The act of killing resonated long after the fact, and its results were explored in thoughtful and meaningful ways.
By contrast, the killing of Zod in Man of Steel struck me as existing purely for shock value, and to bolster Snyder's edgelord cred. It was cynical, ugly, and pointless.