Yes! And the next articles in the series double down on this:
"Any polynomial basis has a “natural domain” where its approximation properties are well-known. Raw features must be normalized to that domain. The natural domain of the Bernstein basis is the interval [0,1][0,1]."
Totally irrelevant. The natural domain,if compact, can always be scaled, it has nothing to do with the numerical problems.
Also the hermite polynomials have an unbounded natural domain.