I am not sure if this counts as an argument per se, but several works of fiction have had instances where a time machine moves a small amount into the future, (say 1 second), and always travels to 1 second ahead of the protagonist, and thus is invisible. Wouldn't this just give the protagonist a 1 second head start against the villain?

At a time of t=5, both would be visible and present, but the protagonist would have 5 seconds of action time, but the "clever" villain would only have had 4 seconds.