More fell from King Henry’s grace faster than he could catch William Tyndale. It doesn’t change the fact that he bitterly opposed William Tyndale, opposed his excellent translation, and did his best to kill him.
“I find that breed of men absolutely loathsome,” he told Erasmus. “I want to be as hateful to them as anyone possibly can be; for my increasing experience with these men frightens me with the thought that the whole world will suffer at their hands.”
More described his feelings on the fate of the heretic: “The air longs to blow noxious vapours against the wicked man. The sea longs to overwhelm him in its waves, the mountains to fall upon him, hell to swallow him up after his headlong fall, the demons to plunge him into gulfs of ever-burning flames...”
More was a Catholic, charged by his King to enforce the law in a Catholic kingdom long before freedom of religion existed there or anywhere else ... and Tyndale was a heretic. Protestant rulers of the time behaved precisely the same way toward those who disagreed with them on religious grounds, whether Protestant or Catholic.
However, I should point out that, not only was More quite dead by the time Tyndale was executed, Tyndale lived on the continent from 1524 until his death. More became Lord Chancellor in 1529. His influence began to wane already the next year, and Henry accepted his resignation in 1532. Legally speaking, Tyndale was never under More's jurisdiction.
Tyndale's translation contained plenty of notes and editorial changes supporting his Protestant point of view.