Which didn’t really bother me, since I’m pretty sure I’m not a sociopath. (Though that probably wouldn’t bother me either, by definition.)
Watching that video made me realize that what I usually feel is sympathy. I think I’ve been so fortunate (or complacent) that I can’t really say to someone “I’ve been there. I know how it feels.” I mean I have been sad and depressed and lonely, don’t get me wrong, but overall I’m like “holy shit why am I so lucky?”
Feelings are icky. If a close friend suffers a loss, I just want to do something practical. Help them move furniture, or babysit their kid or something. I don’t want to “get down to their level.”
So yeah. No empathy here.
There is another thing called compassion which is generally wishing others to be well and giving people a break. Most people don't have much compassion as it somewhat goes against the human instinct to compete with others and do what is best for yourself. That being said, compassion can be directly developed through loving-kindness meditation, if you're motivated to become more compassionate. I personally also find that developing an understanding of evolutionary psychology and doing mindfulness meditation can also lead to more compassion as it leads to more understanding of how we are all, for the overwhelming majority of our conscious lives where we are not being mindful, slaves to whatever thoughts and feelings happen to be arising at any given moment. Some of us are lucky and don't experience much in the way of negative feelings or thoughts, some of us aren't so lucky. Either way, realizing that a lot of life comes down to the luck of the draw is a powerful realization that can lead to more compassion. This i feel is another reason why some of us lack compassion - if we're successful, we have some understanding of what set of actions we did that lead us to be successful. But no one ever sits there and thinks about all the things that didn't happen to them that would have lead to a worse outcome (of which there are infinitely many), so when we see another person who isn't succeeding we may just assume they are lazy or don't care without actually bothering to understand what is holding them back.
If two things have the same properties, there's truly only one thing.
Sympathy is more along the lines of caring about someone enough that you care they are in pain. If you don't feel that pain, if you aren't "crying with them", but instead are a shoulder to cry on, that's sympathy.
Both are very related and work together, depending on how close another person is to you.