> "you aren't innocent of murder just because you didn't intend that the victim would die."
You might be; from the UK's Crown Prosecution Service guidance website[1]: "Involuntary Manslaughter. Where an unlawful killing is done without an intention to kill or to cause grievous bodily harm, the suspect is to be charged with manslaughter not murder.". From Wikipedia[2]: "In English law, manslaughter is a less serious offence than murder."
[1] https://www.cps.gov.uk/prosecution-guidance/homicide-murder-...
[2] https://en.wikipedia.org/wiki/Manslaughter#England_and_Wales
> or to cause grievous bodily harm
The GBH (Grievous Bodily Harm) is crucial there. The intent only needs to be GBH which is way easier to prove, for example weapon use. The prosecutors don't need to prove intent to kill, the death is evidence that you killed somebody (except in the rare cases they can't produce a corpse, for which they have to do more work)