You’re going far afield from what I said.
To repeat:
By what teaching, by what example or principle of Jesus or his apostles are Christians authorized to use threats of death or harm against those who did not agree with them?
How is it anyone’s “duty” to persecute the Waldenses or any other group in Christ’s name?
Is it really that difficult a question?
The Church was not persecuting. They did their best to convince them to return to the Faith because the Church was afraid for their very souls. What lengths would you go to to stop another from going over to satan?