I'd say I have a fair amount of empathy, though I do have a tendency to be self-centered. In my experience, it's been the NT's that lack empathy. People on the spectrum don't go around bullying people to the point of suicide and then post afterwards, "XXX killed themselves and I don't give a #$&%." People on the spectrum don't go out of their way to deliberately hurt someone and then laugh about it. But we're the ones without empathy. Go figure.
Some or maybe even many NT's lack empathy, but it is not the "norm". I'd say that the NT's who lack empathy lean towards the especially selfish & self centered personality types, up to full blown narcissists & sociopaths both of which are really personality or character disorders. There's also the difference IMO between someone who cannot "feel" the emotions of empathy &/or be unable (incapable) of "expressing" or showing empathy, vs. someone who has sadistic tendencies & derives pleasure from hurting or seeing others hurt.
The behavior you described " ... bullying people to the point of suicide and then post afterwards, "XXX killed themselves and I don't give a #$&%." is wicked. (Evil?) It's inexcusable. Pathetic losers. Those are horrible people who don't represent the majority, & I cannot see how they would ever amount to much later in life.
Bullies are a PIA. Lots of theories how someone got that way but in the end if someone is bullying me or someone I know, I really don't care
why they became a bully. I just want them to STOP & get lost.
Separately, I will also add that in my own personal experience, in any work environment, probably due to the pace, stress & competition; people tend to try be DECENT, but do lean towards being more selfish & self centered. There are only so many hours in a day. People are trying to stay focused, accomplish something & then get home to their families ... leaving little leeway to extend themselves emotionally or otherwise to their work colleagues.
Take for example, an oncologist. Most have empathy but try to remain somewhat detached so they can continue to treat their patients. If they allow their emotions to run free they would be overwhelmed by all the loss & sadness, & be unable to carry on their work or help anyone.
Maybe NT's seem inconsistent to Aspies. I guess NT's can be complicated. But the majority of NT's are not bad people & most mean well. Well, there are some crappy people out there too!
But if an Aspie correctly deems an NT to be a crappy person, other NT's would (or should!) agree! Disliking a terrible person is pretty universal. The same goes for condemning bad behavior regardless of the source.
Think about this ... Aspies are very mysterious to NT's. Someone wrote that when they "came out" some neighbors 'quietly detached'. I don't know anything about their situation, their history together, etc.. so of course I don't know
why they responded that way. If they truly detached & behaved differently, one possibility is that they were fearful. Or just didn't know how they were supposed to respond. Because Aspies seem very complicated to NT's.