Your argument is a type of Genetic Fallacy because you assume that the etymological origins of a word determine its current meaning and usage. This is a mistake.
I hope this will be useful for you:
http://www.fallacyfiles.org/etymolog.html
Virtually all words have their origin in the pre-Christian past, since Christianity has only been around for 2,000 years --- a blink of the eye, as far as language goes ---- while the Indo-European roots go back many more millennia, and are entwined with pre-Christian belief systems.
You would have to invent your own language to get rid of this.
Fortunately, it doesn't make any difference. This is because words acquire new meanings, and it's the current meaning that matters.
If you'll read my original post, you'll see that I was simply saying that if we are going to make an issue of people saying "Happy Holidays" instead of "Merry Christmas" on the grounds that it takes Christ out of the equation, we ought to at least acknowledge that the word "easter" has no relevance to what Christ did on the Cross for us.
Actually, now that I think about it, at least Happy Holidays denotes SOME reverence for Jesus's birth.
East has absolutely zero. It's just a point on a compass or the changing of a season or the name of Babylonian sex goddess.
That's all I was saying.
Sheesh. I didn't mean to start a mass guilt trip.