Sorry for being lazy earlier, but I've looked up now what Calvin has to say about diazo in gum printing. He mentions it works well with gelatin and casein (pages 144-145) and even shows two examples. Indeed Kees Brandenburg (a Dutch alt. process, particularly carbon transfer, printer) offers workshops with
'zerochrome' casein printing using DAS (link is in Dutch, sorry).
Elsewhere in his manual Grier mentions that he hasn't found any alternative sensitizer that works well with actual gum printing. The inconsistency with this remark and the page linked to by
@revdoc is likely associated with Grier's exacting quality requirements and the particular process he has devised to realize these. For instance, his approach to developing gum prints deviates from the norm - he uses an 'instant' development technique that relies on pH changes. This helps to reduce uncertainty and variation between prints. I'd have to re-read his manual, but I recall this being the cause of DAS not being a suitable candidate for his approach to gum printing. Staining was also an issue, with the permanganate clearing bath likely degrading the gum layer too much. This is also alluded to on the hum diazo printing page where it's stated that prolonged clearance can reduce density in the shadows. I'd wager to say that prolonged permanganate clearing probably reduces ALL density across the image given the fragility of a gum print.
As often with alt. processes, it's a matter of playing with a bunch of parameters to see if you can find a process window that suits your taste. I'd like to point out that the example prints on the alternativephotography page linked to above are quite pretty, but they're also stylistically fundamentally different from what Calvin made using the process. What makes for an acceptable process window dictates to a large extent what kind of methods and materials are usable.