Spee, per se, is not responsible for accidents; we all know what really is, but speed is easy to measure and collect revenue from. It is way too emotive an issue ever to be debated rationally for long as every other driver is going at the "WRONG" speed for you, either too slow or too fast!
As I've mooted before on here, there is a credible case for removing speed limits altogether and relying on common sense as to what is a safe speed for the road conditions and personal ability - except for BMW drivers, of course, who have magic eyes that can see through fog and other nasties so do not need to moderate their speed to cater for such adverse conditions.
Being serious, other than speed there is a panoply of other categories in varying degrees of severity (Dangerous, Reckless, Careless, etc) that could - and should - ensnare the idiots.
Don't crucify me for the above: I genuinely believe it could work, with certain caveats but it would require open minds on the part of officialdom.
As a footnote, road vehicular speed is the only area of transportation that attracts such disapprobation: in all other areas we celebrate speed (high speed rail links, faster planes, quicker ferries, etc) and are grateful for the shorter journey times.
Accidents involving non-passengers are rare - when did you jear of anyone stepping out in front of an in-flight plane without looking?
If people regarded roads as they do rivers and cross them only where it is safe to do so, i.e. bridges for rivers, controlled crossings for pedestrians, casualties would be dramatically reduced.
Instead of blaming motorists for each and every casualty/fatality, why not devote significant school time on roadcraft and respect for moving vehicles - it is an important life skill, after all, and what schools should be about.
Ron.