I agree with the post. Comments:
Making and remaking of dynastic marriages was a commonplace during the period, as you say. The entire system of impediments, dispensations and decreees of nullity was established to allow two things simultaneously: permit the making and remaking of marriage alliances (for reasons of state, or for high personal reasons), and allow the Church to maintain control over marriage as a sacrament. The incredibly complicated, and continually evolving set of rules and judgements, with respect to what constitiuted a valid marriage, and what could be done about it, was designed to do precisely those two things. What Henry sought (and he played by the rules), happened every day, and he fully expected to receive his decree. His sister Margaret got her first one, at approx. the same time. The examples could be multiplied.
That Henry desired to have a more direct control over the Church in England was quite true, but it didn’t begin with him. For roughly 250 years one can watch a series of Acts of Parliament, and of the Crown, starting (say) with the first Statute of Westminister, all designed to either reduce the authority of any agency (read:Rome) over the Church in England, and/or to increase the authority of the Throne over it. Henry was the latest, and because of his Great Matter, cut that Gordian Knot. But it would have happened, in some fashion, eventually.
GKC