It's bleakly amusing that you think torturers are worried about some sort of credibility calculus. Where torture is sanctioned or tolerated, people are sometimes tortured for information, sometimes for compliance - but those considerations are often
excuses offered to justify the torture to external critics. In many cases, people are tortured purely in order to terrorize others into compliance, or because the torturers are sadists who get off on it.
A lot of HN discussions on this topic are based on the implicit assumption that torture is a rational tactic, if extremely brutal and unpleasant one, because most people will eventually tell torturers what they want to hear in hopes of making it stop, and giving up secrets is a bargaining option. The sad fact is that many torturers are motivated by their enjoyment of others' suffering, so you could give them everything only to have them laugh at your dismay when you figured out they never cared about your secrets in the first place.
In some historical conflicts, this realization ahs been exploited by the underdogs; Algerian guerrillas under French occupation had standing agreements to maintain silence for 24 hours if arrested, but after that they could spill everything freely without fear of moral compromise, thus denying the incumbent powers a credible excuse for carrying out torture. Guerrillas were expected to keep abreast of each others' liberty status and to have an unshared plan to bail out if their network was compromised.
I point this out purely as a tactical maneuver; following the ejection of the French the newly independent Algerian state itself instituted all kinds of unethical and repressive practices.