In this instance I am definitely pro owl. The humans ignored very clearly posted warnings about a territorial animal in the area and are shocked that the animal behaved aggressively. In this case, the owl was defending its territory and not going out if it’s was to target anyone.
As for a case of an animal being problematic enough for action, I am going to refer to our local menace Otter 841. Otter 841 is behaving very uncharacteristically for an otter. Instead of giving humans wide breadth, she actively swims up to surfers and climbs aboard. The issue here is that she is seeking out humans and engaging with them, which is dangerous for both the surfers and the otters. I guess the line for needing to take action is when an animal is both aggressive and actively seeking out humans. If the wild animals are only aggressive in situations where humans antagonize them, like violating their territory or cornering them, then the wild animals shouldn’t be put down. In the case of Otter 841, I like that their approach is to attempt to capture the otter and relocate her to a rehabilitation facility with no possibility of parole. I know it’s not always realistic to do so, but I don’t like defaulting to putting down wild animals. I agree though that aggressive domestic animals like dogs are a completely different situation.