Not true.
After Henry VIII broke with the Catholic Church, Pope Paul III excommunicated Henry and rescinded the grant of the title Defender of the Faith in 1538 but the English Parliament declared that the title remained valid.
https://catholicunderthehood.com/2010/10/17/today-in-catholic-history-henry-viii-is-declared-the-defender-of-the-faith/
Very good. I didn’t know that it was rescinded—but even so, it was granted in 1521 by Leo X—BUT Clement VII is the one who ought to have yanked the title. Paul III yanked it in 1538—More and Fisher were executed in 1535. I am now more informed, and would still hold that him holding this title from his “marriage” with Anne Boleyn going public in 1533 through 1538 is a bigger deal than this present title thing. That Clement didn’t act gave the English Parliament a stronger position for holding that the title remained valid.