This got me wondering: If you have a pound (or cubic foot, or whatever) of moist, post-bath air, and you separate the moisture from it, then which part has more (thermal) energy: the moisture or the dry air, both at the same temperature? I'd think that the amount of heat that can be reclaimed will come mostly from the phase change of condensing the steam, than from dry part of that unit of air.
I'd do the math to get a rough estimate of the proportions, but it's late here, and I've been fighting a cold all day, so what brains I had were blown into my handkerchief
