What makes Borad the exception among bowlers with high averages here, apart from his batting, is that he was a genuine quality bowler for well over a year. Just before the Ashes I genuinely thought he'd cracked it and I wasn't alone.
After his finest hour in 2009, he went and took the South Africans apart at Durban, rattled Bangladesh and did some serious damage during the 2010 summer. This was in addition to getting his two highest Test scores, including his 169.
At that point, he had been a world class all-rounder. For well over a year from 2009-10 his record was 45 wickets at 27, along with 459 runs at 26.
I put him in my team of the 2010s, a predictive article that has held up reasonably well, if my posting back then was somewhat crude. (for the record, I am not really that impressed by Ajantha Mendis anymore.)
Basically no-one disagreed with having Broad in there, unlike such seemingly questionable selections like Cook and Raina. When Broad got injured during the Ashes, everyone expected Broad to come straight back into the team, without argument and almost without exception, despite how well the attack had performed without him.
Of course, Broad has had less successful time in Test cricket before that. And people have stuck with him because he had shown promise, not very often, but in flashes he'd shown he was capable. Rather like many of these bowlers have had, except they don't have the sustained period of success to back it up. Broad has.
Taking the time out now to laugh at his average and say it's all he's capable of is not just annoying and mean-spirited. It's simply horse****.