I just look at “C.E.” as meaning Christian Era.
I do that too. I once told someone that CE means Christian Era.
In trying to deny any connection to the life of Christ, in our calendar, the years are still counting from the time of Christ’s birth. Yes I know that many think Christ was born somewhere between 4 BC and 6 BC and not in the Year 1. But the point is, in using this CE nomenclature, they still are using the count from the time of Christ in numbering the years. They aren’t fooling anyone.