I feel like any company large enough to have a significant HR department won't count as a "rational human being". They'll probably fall into the "psychopath" category by virtue of dispassionately and emotionlessly assessing how much of a liability you are to them if you're willing to demand they make counter-offers.
Being a psychopath isn't about holding a grudge, it's about acting in pure self-interest with no regard for the effect on others. So psychopathy is a good way to describe an HR dept that does its intended job.
Exactly - given the prevalence of "psychopath" in common conversation as violent, unreasonable etc., perhaps I should have specified further or instead used "sociopath".