The question here comes down to the points of both shearing resistance and possible reduction in volume due resulting in settlement. Instead of soil, what would one do if the support were marbles? Sure shearing resistance may be less than site soils, but settlement, which usually controls, would be tolerable, even if in a loose condition. Just because the "compacted" density might be less than well graded soil, does not necessarily mean it is not capable of doing the job, where shearing is controlled, as with confinement.
I bring up a "test" that commonly is done on jobs, hand pushed rod penetration. If it hardly can be shoved in, it usually is good support. Try that in uniform sand and the rod will go in easily, but the stuff has a small range of density between loose and dense, thus a low potential for settlement, even if loose. Vibrate it and it is great stuff.