What are your thoughts on choosing a child's religion for them ?

I was thinking about this recently, and I came to the conclusion that I am really very against labelling a child with a religion.
Thinking about my childhood , it created a divide within the classroom, as children asked each other what they were (meaning catholic, protestant, Jehovah’s witness etc) and they would form friendships accordingly, and sometimes not integrate with children from a different religion as they thought they were weird etc.
I think a child should be aware of all the religions out there, and also aware that many go through life without religion playing a part in theirs, and if they want to , then choose what they wish to believe.
I was brought up Church of England, in a church school, around a family of relaxed christians (or believers probably describes my family better) , however , it took me a long long time to shake free from the idea of a god ( I was scared & ashamed to admit it to myself or anyone else at first) Maybe I could have saved myself all the personal anguish if my family had never labelled me a Church of England Christian in the first place.
I don’t think it’s a matter of choosing for them so they grow up with good ethics & values , as these can be instilled in a person without religion can’t they?
What do you think about choosing for someone else?