You really don't get it, do you?!
I don't actually agree with you that Connolly's offence was "less serious" than Jones', I think they were both utterly reprehensible. But regardless, you can't say that it's only the "crime" that matters and that the pleas entered/trial verdicts are irrelevant! They're absolutely relevant!!
If you plead guilty, you will automatically be found guilty. That's how the system works, and LC presumably entered a guilty plea with full knowledge of that.
If you plead not guilty, then it goes to trial and the verdict could go either way. On this occasion, a jury of ordinary people found Jones not guilty. Inexplicably from my perspective, but I have not scrutinised the evidence to the extent that they did, so perhaps they had their reasons or perhaps they simply made a perverse decision.
If we went with your logic - that it is the alleged crime that matters and not the plea or the trial - then we might as well do away with the courts and the justice system altogether. Everyone would automatically be found guilty of whatever they may be accused of. Is that really where you want our justice system headed?