An argument could be made that a person or religion should never deny their beliefs or faith when questioned or challenged, even if doing so would bring negative consequences or persecution. It's called being faithful. It's called standing up for what you believe in.
Refusing to tell the enemy where people are hiding, or refusing to give a list of names, etc., is not the same as denying your religious convictions.
Geoffrey Jackson denied his religious beliefs in a public forum as a representative of the entire religion. That's not theocratic warfare. That's selling out to avoid persecution. That's selling out to protect the business interests of your multi-billion dollar machine. That's FEAR plain and simple. It shows a lack of faith in their God's saving ability.