I'd like to address this issue of whether or not painting stucco will prevent it from "breathing", and thereby eliminating moisture from the walls of the house.
Moisture gets into the exterior walls of a house through leaks in the vapour barrier, such as at electrical outlets in exterior walls. That moisture accumulates over the course of the winter, forming condensation and frost during the winter, and that frost melts in the spring time. It's true that mold needs moisture to survive, but an occasional wetting once per year isn't enough to support mold growth.
People should be aware that all latex paints (both interior and exterior), "breathe", whereas neither interior nor exterior oil based paints "breathe". The term "breathe" means that humidity can pass through the dry paint film, but not liquid water.
Oil based paints don't breathe because they crosslink so densely that there isn't sufficient space between the oil molecules or the parts of the alkyd resins to allow water molecules to pass through the paint film.
Both interior and exterior latex paints "breathe" because the gaps within and between acrylic resins are larger than the diameter of a single H2O molecule, but smaller than the distance between H2O molecules in liquid water.
Consequently, individual H2O molecules can pass through a latex paint film relatively easily, but liquid water cannot pass through it. It's that ability to allow humidity to pass, but not liquid water that's really what's meant by that term "breathe".
An acrylic resin can best be thought of as a long copper wire scrunched into a small ball. No matter how strong the person doing the scrunching, tiny gaps will remain between the segments of wire that make up each ball. Those gaps will be wide enough to allow a sufficiently fine powder, like sand say, to flow through the wire ball. Water molecules attract each other, and so liquid water cannot pass through that scrunched up wire ball unless the gaps between the wire segments are wider than the distance between H2O molecules in liquid water, and in latex paints, they're not.
So, I don't see why painting stucco with a latex primer and exterior latex paint is going to prevent moisture inside the wall from evaporating through the paint film.
Masonary paints are latex piants that have particularily wide gaps between the wire segments, but not so wide that they allow liquid water to pass through the paint film. That allows for the greatest "breathability" of the paint film to minimize freeze/thaw damage in masonary walls from moisture getting inside the wall and freezing.
I really don't know how well elastomeric coatings breathe.