I don't (on the first point). Everyone with the background to understand the problem under discussion and appreciate the explanation already understands that Ga

I don't (on the first point). Everyone with the background to understand the problem under discussion and appreciate the explanation already understands that Gaussians are parametrized. I challenge you to find a counterexample. The specifics of non-isotropic parametrizations are even less relevant to the discussion than scalar parametrization. On the second point, I agree that the approximation deserves a mention.