The Catholic Encyclopaedia make the point that the oath and the penalties were so severe that it stopped the efforts of the Gallicanizing party among the English Catholics, who had been ready to offer forms of submission similar to the old oath of Allegiance, which was condemned anew about this time by Pope Innocent X.
At the time of the First Vatican Council he was accused of Gallicanism, to the grief of his patron Pius IX, and his work on political and religious society in the nineteenth century was condemned by the Church.
When Edmond Richer laboured to revive in the theological faculty a somewhat modified Gallicanism, Ysambert with the theologian Duval became the zealous defender of the rights of the Holy See.