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I'm tempted to think MC’s father was already an undead when Guwon came across them. We’ve seen before that the only time he immediately attacks something is when they’re an undead. With living people, he seems to spend a bit of time scoping out if they’re useful and worth keeping alive. This would explain why he’s so adamant about not having killed MC’s father, and stating that he hadn’t lied, but also hadn’t told the full story.
Another thing, because Guwon is fairly indifferent to killing, is incredibly strong, intimidating, and gets along well with the Hounds ( a trigger-happy group), I think a lot of characters wrongly assume he is a lot more violent than he actually is. He seems like a utilitarian. In a post-apocalyptic world, where those who are not useful are either deadweight or pose a threat to stabbing you in the back later on, only keeping “useful” people alive might seem rational. Overall, he hasn’t been shown to be all that eager to kill people. He spent time looking for a reason to keep MC alive when they first met, described killing the vet’s family as a shame, and gave in when the vet said the girl was needed as an assistant. Compared to the Hounds, who seem to be itching for a reason to kill people, it seems like a mildly bothersome chore for Guwon.