Should fathers be able to DNA/paternity test a child when they want?

In France, the UK, Ireland, Germany and Israel this is illegal. They want to protect the child. Finding out that they do not have the right father traumatises them. I believe women who make a man pay child support to a child that is not his should be jailed for fraud.

yes he should be able to request this.
No I want the mother able to deny this to protect the children.
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Should fathers be able to DNA/paternity test a child when they want?
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