For example, in a car, several seconds of following distance is normal and following another car that closely is common. In a plane, which can move in 3 dimensions, horizontal separation is measured in minutes and it's not that common to be following immediately behind another plane at the same speed: https://en.wikipedia.org/wiki/Separation_(aeronautics)#Horiz...
Takeoff, initial climb, descent, and approach to landing are high workload times, easily holding the attention of the crew.
Cruise is much more relaxed and much less need for hair-trigger responses. My aircraft has audio and visual cues if an aircraft breeches a 2nm (or thereabouts) and is within 1000' vertically. Other than that, it's systems monitoring, weather monitoring, keeping up on the nav progress vs fuel remaining, and making sure the automation isn't trying to kill you, either subtly or acutely.
Also, my understanding is that aircraft autopilot systems are designed to allow for pilot response to take up to three seconds. Three seconds on the highway is a lifetime.
tl;dr: aircraft pilots generally must be attentive. Tesla drivers on "auto pilot" - not so much.
How do aircraft pilots manage it?