I don't think there should be formal type social skills lessons in schools, just some strategies in place to make school time less of a hell for those who don't meet criteria for a diagnosis but struggle.
My thoughts exactly. Rather than formal lessons, which if anything like ethics/PPE will be treated as a joke by teachers and kids alike, improve the social side of things in all aspects.
The "wait of shame" in games and PE for team selection has no place in modern society. It's torture and needs to be stopped immediately. For the non-sporty, non-popular kids, it just breeds anxiety and gives ammunition for bullying.
Same with forcing a shy or socially anxious kids to play an instrument, sing, read out, act, present, etc., in front of the class. It's just feeding their insecurities. It has to be purely optional. Despite what teachers think, it's not going to "cure" an anxious child - it's going to make them worse and probably lead to truancy to avoid it.
Why not make more of social norms like hand shaking? No, I don't mean the extremes of shaking every pupil's hand at every lesson - that's just crazy. But there are situations, especially later in school life, when it's perfectly reasonable. Same with having a "proper" sit down meeting with a pupil across a desk/table rather than a stood up chat in a corridor? These are typical real-life scenarios that happen everywhere else, why not schools?
My son's school got a new head and the first thing he did was start inviting pupils to parent's evenings. It's been a massive success. For my son, who is a high performing, but quiet "hide in the corner" kind of kid, it was literally the first time he'd had a "one to one" with many of this teachers. When we get to the front of the queue, the teacher shakes our hands, as normal, but then shakes our son's hand too! Simple things! Then the teachers don't just ignore him when they're talking to us, most include him in the conversation, even for simple yes/no answers. The first time he did it, my son was absolutely blown away with seeing the teacher in a different light, and having a proper meeting, even if it was only 5 minutes each. He tells us it's given him the confidence to speak more to the teacher, discuss problems, etc., whereas previously, he felt no real "attachment" to teachers as they were always talking/shouting to the disruptives and as he said to us "he probably doesn't even know who I am".