The living beings of the past few epochs were not like Zhou Tian and these Monsters, to whom time and lifespan had absolutely no significance. Since the Monsters of this current epoch inherently had infinite lifespans, they naturally did not have to worry about the insufficiency of their own lifespans. The living beings of the past, on the other hand, most likely all cared about their lifespans.
Of course, living beings who cultivated the Time Rule generally had longer lifespans. With the ability of the Time Rule, some formidable Cultivators could even use the Rule and Strength to halt their lifespan from passing, resulting in the Cultivators of the Time Rule being able to live even longer under that kind of power.