Snapedom

We don't hear of children dying in accidents at home because it isn't necessary to the plot, and because nobody whose thoughts we are privy to (that is, Harry) investigates or knows of one (nor does he ever ask anybody). That doesn't mean it doesn't or can't happen. Absence of evidence is not evidence of absence.

It also says nothing whatsoever about why the level of such accidents (whatever it is) is what it is; saying it's got to be low because the kids are magical is pure speculation. We do know that children don't usually manifest magic during their first year, so at that point Lily and James did not actually know for certain that Harry *was* magical, so it's a moot point anyway.

The point about safety cushions on brooms is an assumption. There is nothing denying it in the books (absence of evidence), but nothing supporting it either (no evidence either way). So you are defending a canon incident on the basis of an assumption that is allowed but not necessary and which not everyone feels comfortable making. Probably we're all going to have to agree to disagree, since we're arguing on the level of assumptions each is making instead only on textual evidence.