I have viewed few explanations of what "relating" really means so here is my explanation. Two people meet, one non-autistic, one autistic. What the autistic person may not always know or consider is that the non-autistic person performs gestures such as facial motions and smiles or head & body motions plus statements or even jokes to develop a connection with the other. The autistic person may not be able to process the other's message and not laugh at the joke or smile in response. The non-autistic person may increase actions such as smiles to elicit a response, which can frustrate the autistic person until the autistic person laughs somehow.
Role playing can help people within the Autistic spectrum in developing familiarity, but in my opinion it is impossible to escape the neurology - that is the diagnosis. I can have a dry, one-liner sense of humor but I have difficulty remembering stories that can be told as jokes.
A conversation involves exchange of information about the subject discussed and the people involved, their backgrounds and connections with others. Skilled communicators and listeners can process an incredible amount of information in split seconds and full seconds and people in the Autistic spectrum can only process the information they can handle. Improvement comes with self-awareness, practice, the ability to pick and choose what is important, getting by with limited information compared to others, but sometimes, that is enough.
The processing speed question affects everyone, not just people classified as autistic. I know I cannot be friendly with everyone, because my slower reaction times may make others just uncomfortable. The split second differences, needless to say, are very difficult to measure. I now know I would have done a lot of things differently had I known better an earlier age.
People can lie to you due to 1) Present wrong information, turns out to be incorrect, interpreted by autistic person as a lie, 2) subtle half-truths, 3) Intentional lies. Reason for lying may be concerns about the impact of what is said can affect more people than the two involved in the conversation. The autistic person may not fully think about all dimensions of a conversation, how the other person can talk to others, who are the other person's friends. There is a danger of not realizing the impact of being a messenger, especially of bad news.
Autistic people struggle in receiprocating with others, in my case, just exchanging a smile. Yes, autistm affected my ability to smile and interact. People can invite me to parties and it is harder for me to reciprocate if I cannot easily host a party or take someone to a social club. In my case, I guess reciprocating is helping people do chores or giving a ride or doing tax returns or other volunteering. If you got this far on this site, just step back and understand this interactive structure of people helping you and somehow helping them. Babies (infant children) appear helpless, but people tolerate them due to their smiles, interactions, and growth.
I have not married and have not lived with a partner for extended periods of time. Each situation and person is unique, the partnership has to be equal for both side. I cannot drag down a relationship due to a handicap, and I don't want the grief of another's baggage. I hope to find someone, and I guess the more meetings or interviews, the better your odds.