Being the Devil and a Celestial Being who has been alive since the Dawn of Time, Lucifer's perspective of life is vast and as such, sees Human lives as ephemeral as memories and holds little value to them, considering from his point of view a human lifetime seems inconsequential (with notable exceptions). Therefore, he never runs when chasing his prey. Lucifer views his time on Earth as a vacation as much as a Human would consider a vacation to a wildlife park.