Yes, a neurotypical with some degree of cognitive empathy would be able to imagine how easy it would be to have a "common bond", be able to relate to what it is to be autistic, and therefore make it easier....and they would be wrong. The degree of neurodiversity between one autistic and another is well-known. Although there are a few of us that appear to be almost psychic with their abilities to read people, the vast majority of us are quite the opposite with a clear case of "mind blindness" (cognitive empathy) that can leave us quite socially disadvantaged.
My wife is "borderline" autistic and neurotypical (AQ score 27), but my two boys score between 15 and 20. My wife has the gift of being able to communicate with all of us,...but I have always been unable to connect with my children. As you have experienced, if my boys were on the spectrum, it would clearly make things worse.