"And computers don't have hairs on the back of their necks, or sweaty armpits before a limit is reached. "
Granted, and neither do pilots not paying attention or unaware of proximity to the limit.
"And to your point, computers/software are not and cannot be anticipatory. "
Granted, likewise, and neither do pilots not paying attention or unaware.
We may be tempted to criticize pilots not paying attention or unaware as unprofessional and not doing their jobs. But criticism, deserved or not, is insufficient. The modern automated flight deck is creating such pilots. At best they, while becoming less anticipatory, are becoming reactionary. But as a whole I'm not convinced they are even that as well as we need.
Please don't misunderstand, I am not praising software and automated systems nor desiring them as the superior replacement for the human component. We need to design the flight deck better to account for the nature of the human component and rightly take advantage of all its strengths.