[Lying will do him no good, so he'll only speak in truths, repurposed for the appropriate response. This way, he sounds perfectly genuine and resolute. He drops the teasing air too, now speaking in a very quiet, purposeful, but not artificial manner:]

Yes. For starters, you never gave me your real name. Your name isn't Wolf anymore than mine is Rabbit.

... I dislike you knowing more about me than I do you. Trusting me with a place and promising me refuge, but not your name or face... it's not easy to trust a phantom of a man.

It makes me uneasy, that's all. I dislike being at a disadvantage, you know. Even so, we still have an understanding.

[Perhaps greater than before, though he disliked it, but he can't simply say that.]

You'll forgive me if I don't remember all the details? My memory isn't the sharpest and I never took your picture. [A bit moody, but it works. This way, it does sound like he arrived to this suspicion on his own.]

But this uneasiness cannot change my respect for your strength, I'm not that fickle. Or do you want me to be blindly trusting? You'd have better chances with a child, then. [An attempt to spin this in his favour.]