This opens a whole Pandora's box of questions, not the least of which is "Which vegetable is most dignified?". And is this ranking invariant, or does it change with the times? Vegetable popularity does - witness the recent Irish infatuation with mangetout, which duly ran its course, only to be replaced by rocket lettuce, aka arugula.
I think the sporting adage "form is temporary, class is permanent" applies. If we're going to speak of dignified vegetables then the dignity must be enduring, not merely a passing fad or foible.
Although I don't especially like the taste of them, I do find artichokes especially dignified. They have such stability, and also a sort of primness about them, like a maiden aunt in a great skirt (although like all vegetables, they yield readily to a salacious reading).
Surely this is a typo for 'heatshed cuke'; though where I live we call heatsheds 'greenhouses'.
If beets are so goddamned dignified, why do they blush constantly like giggling hormonal teenagers? Plus, have you ever read "The Beet Queen"? A book chocked to its little bookish gills with lascivious behavior.
My money is on the kohlrabi, because men of the Torah are always dignified, even those who work in kohlmines.