So, Solas says that the elf gods are not gods. That doesn't mean others won't worship them or consider them to be gods.
We tell the Avvar that their gods are not gods, but they disagree.
The dwarves speak of the Stone, stone sense, and how dwarves return to the Stone... that's some pretty metaphysica-- oh, look! A Titan!
Is there a pattern in which a person's god is discredited to being a god when they are shown to exist?
Certainly, I don't subscribe to the definition of godhood as the elves or Avvar may, but that is just an argument in semantics, not in the existence of such beings.
The Maker, the Chant says, created the Fade, then the Earth and all its peoples, then left when they started to worship and seek wisdom from other things.
The Maker is credited with being the Creator of reality, but none of the others are.
Is the Maker real? Well, the other faiths seem to have real foundations for their beliefs, why not Andrastianism?
Edit: What I would like to see is a faith that actually doesn't fit with the Chant/Chantry, not just other faiths that could still fit the narrative of the Chant of Light. A faith that actually has a different idea of a creator god or gods, and is also just left as "faith" in DA, and not just exposed like the dwarf, Avvar, and elf faiths.