No. I mostly play in non vegetation supporting deserts/badlands with a single tile outside of that to get some trees and herbs, but avoid treesplosion. That usually works, and outdoor farming works as expected in this desert as well: I was able to collect about 6 different kinds of herbs, 3 of which were booze producing, and thus kept for farming, which works just fine.
Normally deserts with sparse vegetation are just that: a fair bit of exposed sand, but a few trees (or not, as per the pre embark info), and some herbs. They usually regrow, i.e. saplings appear, as well as scattered herbs. In a no vegetation desert/badland neither saplings nor herbs grow in channeled soil, but that soil is covered by grass eventually (allowing grazing) while the surface itself remains barren (naturally). If vegetation is supported, I normally get herbs and saplings (again, if trees are supported) in my recessed courtyard as well as on the surface.
Edit:
Some observations/science concerning a desert based on PSV rainfall painting (I don't know how to find what's actually used, though):
Rainfall = 0: Seems to result in a vegetation less desert
Rainfall = 1: Resulted in "sparse" for both herbs and trees, but neither trees nor herbs regrew. Grass like ground cover regrew.
Rainfall = 3 & 4: Sparse herbs and trees. No saplings, but herbs regrow.
Rainfall = 5: Still sparse. Sometimes saplings and sometimes not. Murky pools have been present, which should provide a chance for water dependent vegetation (such as e.g. sun and fisher berries), although I haven't seen any.
As an aside, it rains awfully often in a rainfall 1 desert based on the weather. Weather rainfall frequency is probably not coupled to the rainfall value (at least not tightly). Not that it's important.