yup, you'll stink. "fresh" sweat doesn't smell but as soon as it's been on your body for a while... BO. Water doesn't do it.
Speaking of which. For the love of fucking God, guys who go to the bathroom at the gym, WASH YOUR HANDS afterwards. I don't give a flying fuck about what you did in the bathroom but I don't want to use the equipment you just used. I'd say that at least 50% of the guys at my gym gladly walk from the bathroom back out into the gym without washing their hands. FUCKING DISGUSTING.