It is possible that chocolate yeast donuts are not as common as chocolate cake donuts because yeast doughs and cake doughs have different properties, and chocolate may not be as compatible with the yeast dough as it is with cake dough.
Yeast doughs rely on the fermentation of yeast to produce carbon dioxide, which causes the dough to rise. The yeast consumes sugars in the dough and produces alcohol and carbon dioxide as byproducts. However, chocolate can inhibit the growth of yeast and may affect the fermentation process, which could make it difficult to achieve the desired rise and texture in the dough.
On the other hand, cake doughs rely on chemical leaveners such as baking powder or baking soda to produce carbon dioxide, which causes the dough to rise. Chocolate is more compatible with cake doughs and can add flavour and richness to the dough.
Additionally, chocolate yeast dough may not have the same taste appeal as chocolate cake dough. Yeast doughs have a distinct taste and texture which may not go well with chocolate.
That being said, it is not impossible to make chocolate yeast doughnuts, it just requires certain adjustments and experimentation to the recipe and technique. It would be best to consult with professional bakers or food scientists for more detailed guidance on how to create a chocolate yeast doughnut that has the desired texture and tast