From Pub 901:
Pensions paid by, or funds created by, the
United Kingdom, its political subdivisions, or lo-
cal authorities for services performed for the
United Kingdom are exempt from U.S. income
tax unless the recipient is both a resident and
citizen of the United States.
Article 19, Paragraph 2
a) any pension paid by, or out of funds created by, a Contracting State of a political subdivision or a local authority thereof to an individual in respect of services rendered to that State or subdivision or authority shall, subject to the provisions of sub-paragraph b) of this paragraph, be taxable only in that State;
b) such pension, however, shall be taxable only in the other Contracting State if the individual is a resident of, and a national of, that State
I don't have a clue about the MA 403B or the 457, but if you have a UK government pension, it seems very specific - taxable in the Contracting State per paragraph a; taxable in the 'other state' only if a resident or a national of that state. This does not apply to our tax situation, so really I don't care, but I am curious what you are reading that I am not.