For hiking shoes, there are different schools of thought:
1. Waterproof shoes. These are great for walking through puddles and keeping your feet dry most of the time. But, they can be warm, has poor ventilation and make your feet stink. If they do get wet, say walking through a deep stream or after a very heavy rain (rainwater will flow down your legs into the shoe), they take a long time to dry. But they are traditional hiking shoes and have very rigid structure for supporting your feet and ankles, and excellent traction on uneven terrain.
2. Water-hybrid shoes. These are made for light hiking and water activities. They are thoroughly NOT waterproof, and will get wet like a sneaker. But they are extremely porous and have special vents to allow water to drain from the shoe. Therefore, they also dry quickly, and have very good ventilation. Columbia makes several series of such shows (Drainmaker, Powerdrain, etc). I bought a pair during the Great Sg Sale at 50% off. Very comfy and light, but not rigid like a regular hiking shoe, so it's only suitable for light hiking. And because they are also suitable for water-use, they have very grippy soles, great for wet slippery surfaces. Merrel also has a few similar models.