It matters what the largest allowed latency is, not your personal latency.
To make creature attacks predictable, they are announced 1s in advance and players with a 500ms latency will already be playing through the creatures attack even before you with your low latency will (larger latency means player prediction is further in the future). Even if you kill the creature, it has to wait for an announced attack to complete as higher latency users already are seeing/predictively feeling the effects of the attack.