I would look at this from a different angle. You will always have moisture and algae present to varying degrees outside.
I think there is a possibility that the painter did not prepare the siding properly, such as removing algae by powerwashing with diluted bleach, or using an inappropriate, non-approved product.
Algae, mildew and mold typically prefer higher oganic content (like linseed oil). They do not like 100% acrylic paints. They grow better on flat-painted surfaces than on gloss. If your area allows mildewcide in the paint, it should be there.
I would remove a section of siding and have it examined by a paint consultant. If the algae originated below the shop primer, it may be Hardiplnak's problem. On top of the shop primer, it would most likely be the painter.
Also, powerwashing every year will prematurely wear the paint surface, exacerbating the problem with the algae growth.