I would imagine most societies would look sort of like Germany or Japan, but the real question is which widespread social norms are directly or indirectly caused by endemic and widespread Neurotypical Disorder, as well as what those social norms would be replaced by
For example, I would expect the attached poster to not exist for various obvious reasons. But how do you think an autistic society would handle the indication of listening/attentiveness?
I think one of the largest changes would be an overall decrease in economic productivity. Society would shift away from capitalism as many concepts would either be unintuitive to us or aren't possible to uphold with our overall capacity. In practice this would likely mean a reduction or outright elimination of full-time work, which is replaced with alternative options like WFH or the four-day work week. This may impact the open hours of stores but there is a possibility that improved work conditions may mitigate that.
Assuming that this is a society of mostly autistic people from the start rather than a gradual replacement of neurotypical people, it might actually have better outcomes for autistic people as the stigma created by neurotypical people wouldn't exist. Or it would be significantly decreased.
Are you forgetting about the entire section of society that does physical work...?