Actually they don't do that, and neither would I if I could run 50 mph, was huge, and preferred breathing air, but anyway: Importance (which is import, meaning)

Actually they don't do that, and neither would I if I could run 50 mph, was huge, and preferred breathing air, but anyway: Importance (which is import, meaning) is mostly subjective. If there's such a thing as objective importance, attention is probably orthogonal to it. And to subjective importance too, at least at first, but then extended attention probably increases perceived/subjective importance just as protracted inattention decreases it.