Nops ,it is not at all true.
Jehovah Witnesses famously do not celebrate Christmas. But they are just one of many in a long line of Christians shunning Christmas.
Christmas has been banned in the name of religion for hundreds of years. The age of the Reformation is largely credited with the Calvinistic teachings that the Roman Catholic church adopted the pagan symbols and traditions of Winter Solistic and changed them to teach the story of the Nativity and to support their belief in the Divinity of Christ.
History is replete with Christian sects who have banned Christmas at one time or another. Even today there are Christian groups who claim that Santa is an anagram for “Satan” and that Christmas trees are banned by the Bible.