Thank you, this is a really insightful comment! You not only sympathize with the kid, which is fine, we all pick sides when we read agony letters, you empathize with her and have some really good ideas about how she might be feeling.
My family also had an autistic kid who begged for games but couldn't deal with losing. But actually "losing" isn't just one thing. It might be other people gloating, it might be feeling that you fell short of expectations, it might be the game dragging on too long, it might be frustration at your lack of skill (either you know you made a tactical mistake, or you can't see a way to do better). Board game scoring can give you feedback in a way that can be hard to deal with, not immediate but while you are still emotionally invested.
Also the sore loser thing is really hard to navigate. You're supposed to be competitive and take the game seriously and care about winning, but you're also supposed to be emotionally neutral about whether you actually win or not. So it's not even the expectation of winning or not winning, it's the meta-expectation about how you're supposed to feel.
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My family also had an autistic kid who begged for games but couldn't deal with losing. But actually "losing" isn't just one thing. It might be other people gloating, it might be feeling that you fell short of expectations, it might be the game dragging on too long, it might be frustration at your lack of skill (either you know you made a tactical mistake, or you can't see a way to do better). Board game scoring can give you feedback in a way that can be hard to deal with, not immediate but while you are still emotionally invested.
Also the sore loser thing is really hard to navigate. You're supposed to be competitive and take the game seriously and care about winning, but you're also supposed to be emotionally neutral about whether you actually win or not. So it's not even the expectation of winning or not winning, it's the meta-expectation about how you're supposed to feel.