How can pagans claim to have CHRISTmas before CHRISTians. Just because you worshipped the sun god, or wine god, or some god, when it snowed, doesnt give them automatic bragging rights over any other festival at this time.
Its like someone coming to your house, pasting a new door number over the old one, picking the locks and moving in. Its still your house.
Basically the Christians put their holy days onto pagan ones everywhere, harvest festival is another originally pagan festival.
TBH if people followed the proper rules regarding holy days, or holidays as they are now known, you would be getting 364 days off a year by now.