There’s way more to it than that. This was during the Reformation, and the doctrine of the Anglicans differs little from that of the Lutherans, who lack the King Henry connection.
Reformation was the issue in Germany. Martin Luther raised legitimate issues about the abuse and corruption regarding the sale of papal indulgences. In England....however....it was a pure power play.
Don’t forget that the Lutherans did frown on dancing.
I don’t think the Anglicans did.