The advantage is that a criminal confessing to their crimes is better for everyone else. Most people would rather see criminals not doing crime.

This is so obvious, it's not clear why this has to be spelled out. The purpose of civil rights like the fifth amendment is not making life easy for criminals, the purpose is protecting innocent people.

You can argue that the harm inflicted by some particular procedure to innocent people exceeds the benefits, but that becomes a utilitarian debate, rather than one about philosophical dogma.