I feel that the whole empathy thing is an example of the danger of NT language. The concept is that autistics do not intuitively know what NTs are thinking and feeling and do not automatically share those thoughts and feelings with NTs. Same thing happens in the opposite direction. But NT language has turned this concept of empathy into the word "empathy" which has become equivalated, or more like umbrellated, the word "compassion" and the phrase "caring about people" and the phrase "ability to love", all of which words or phrases describe different concepts, but all the different concepts subsumed under this one word "empathy", such that the simple concept of lacking empathy has come to mean also lacking compassion, caring about people, being able to love people. But in reality, each concept is like a different big giant chemical structure, but all these structures are being given the same verbal label by NTs, who see the world in lower resolution than autistics do and therefore habitually apply low-resolution verbal labels to cover all manner of distinct structures, or concepts.
In autistic language, this conflation would be harder to make, because instead of applying this generalized highly abstract verbal label "empathy", autistics would just say, more explicitly and concretely, "I don't know, automatically and instantly, what you are thinking and feeling, and I don't share your thoughts and feelings, because the same stimuli generate different responses in me vs. you, so you're going to have to explain your perspective for me to have a theoretical understanding of it, and I will explain mine to you afterwards, because guess what, I do want to know your perspective, because I do care about you and therefore want you to feel happy as much of the time as possible, and the first concept I talked about explicitly was what you call 'empathy' and the second concept that I talked about explicitly was 'caring about people'."