This is gonna be very subjective:

To me, there's two ways in which autistic people handle empathy:

• you don't really get why people are doing things, and how they feel when they are behaving a certain way so you just ignore it. Even if you might have a hunch, you'd rather they say it, therefore you don't interact with behavior.

• you somewhat get why people are doing things but you have a hard time always being correct about the feelings or reasons. You basically don't react to all the indications you see, but when you see them, you assume you missed a few indicators, so you start being hypersensitive to these things and they trigger loads more empathy than they do for non-autistic people.

I assume this somewhat describes the latter, although I'm sure not everyone sees it the way I do.