The water seeping out of the bearings is normal. I grease mine every ride and am always surprised how much comes out. I'm not worried about over greasing as the new bearing bleed out excess grease. I don't like the thought of that moisture being inside the bearing.
Water in bearing is not a normal thing, something causes it, it causes early bearing failure. Being the bearings are super side loaded since TS chooses to use shafts and bearings as side plate supports bearings get warm as your ride you stop they cool down the water is drawn in.