Morbid question. In Chain of Command part 2, when Gul Lemec was torturing Picard, he pretended to give up and told Picard he can go. Just before he went through the door Lemec said he will try to get the information from "the female" Dr. Crusher (this of course was a lie as Dr. Crusher escaped). Picard then said he would stay. I always found it daft of Picard :
1) He did not know if Lemec had indeed captured her, and if he did, that she was still alive.
2) Technically Lemec never said he would release her if Picard stayed (given Picard's negotiation skills I could perfectly see him saying "let her go and I'll stay").
Even given Picard's weakened state, this did seem like a big oversight. If Picard requested to see Crusher I can't possibly imagine how Lemec could trick him.
Furthermore, I don't see why Picard thought that him staying there would prevent Lemec from torturing Dr.Crusher.