I didn't miss that point, I'm arguing that that point doesn't prove anything about the merits of a toast.
Their examples are all arguments of where local information should have been displayed. I agree with them in general. I just think that a toast should also be displayed in each of the situations they identify.
What seems to have happened is that they correctly identified a problem with lack of local information and blamed it on the presence of non-local information, which is fallacious. You can have both, and I believe that a UI with both is generally more usable.