To sort of answer my own question, there is one more "leak" I forgot about - array bounds are unchecked https://github.com/Microsoft/TypeScript/issues/11122, which can give you `undefined` (though not `null`) without it being reflected in the type of the expression. Similar for objects with arbitrary keys (i.e. maps/dictionaries/etc.) https://github.com/microsoft/TypeScript/issues/13778.
E.g. `const a = [1, 2, 3]` will let you do `a[5]` and still give it type `number` instead of `number|undefined` as mentioned in the github issue. Many other languages also do this (though they have runtime checks/errors).
So that kinda sucks, but the rest still stands (there is still no practically realistic way for `null` or anything other than `undefined` to get there). Hopefully they'll fix that in the future with a new compiler setting.