Well, it was conjecture on my part but, amazingly enough, it is supported by the piece to which you yourself linked.
“Ultimately, of course, the holiday is rooted deeply in the cycle of the year. It is the Winter Solstice that is being celebrated, seed-time of the year, the longest night and shortest day. It is the birthday of the new Sun King, the Son of God – by whatever name you choose to call him. On this darkest of nights, the Goddess becomes the Great Mother and once again gives birth. And it makes perfect poetic sense that on the longest night of the winter, ‘the dark night of our souls’, there springs the new spark of hope, the Sacred Fire, the Light of the World, the Coel Coeth”
Here is a cite supporting my contention**
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Your contention was that “Christmas was set on that date [25 December], since it made it easier to convert the pagans if they didn’t have to give up their favorite holiday.”
My counter-contention was that Christmas was set on 25 December because the existing symbolism of the celebrations already held on that date seemed an appropriate one to adopt for Christmas.
The piece to which you linked says:
"Ultimately, of course, the holiday is rooted deeply in the cycle of the year. It is the Winter Solstice that is being celebrated, seed-time of the year, the longest night and shortest day. It is the birthday of the new Sun King, the Son of God – by whatever name you choose to call him. On this darkest of nights, the Goddess becomes the Great Mother and once again gives birth. And it makes perfect poetic sense that on the longest night of the winter, ‘the dark night of our souls’, there springs the new spark of hope, the Sacred Fire, the Light of the World, the Coel Coeth.
That is why Pagans have as much right to claim this holiday as Christians. Perhaps even more so, as the Christians were rather late in laying claim to it, and tried more than once to reject it. There had been a tradition in the West that Mary bore the child Jesus on the twenty-fifth day, but no one could seem to decide on the month. Finally, in 320 C.E., the Catholic Fathers in Rome decided to make it December, in an effort to co-opt the Mithraic celebration of the Romans and the Yule celebrations of the Celts and Saxons."
With respect, this seems to me to support my contention at least as well as yours. The passage discusses the symbolism of the existing celebrations, but says nothing about the decision being motivated by a desire to attract converts.