I don’t have a Christmas Tree, but if I did I don’t think a tree has to have a topper, I don’t think I would necessarily have one. I have seen some very pretty stars that have multiple points, like 8 or 12 like a round ball almost. I definitely would not have an angel or a 5 pointed star. My tree would be very secular and not sure if I would do a theme or a hodge podge of meaningful ornaments.
I love Christmas trees. We have about 100 around our community in recreation centers and outside in our town squares and each one has a different theme. I can’t remember if they have toppers, I’m going to pay attention to that now.