Teaching Errors in God's Name
Do other churches use God's name in vain when they profess certain views in his name that are false or contrary to the Catholic Church's true teachings?
To assert false things of God is a form of blasphemy, which is objectively worse than simply taking God's name in vain. Even so, people often teach errors about God they in good faith. In fact, they may be intending to praise him and not at all to blaspheme. So one should be careful not to accuse those who teach heresies about God of blaspheming. Rather we should seek to correct their errors, which they often hold in good faith.
A different and more serious case is that of one who professes to be a Catholic and who knows the Church's teaching and deliberately contradicts it, especially if this is done with sarcasm. There are, unfortunately, examples of this today.