You will be surprised... funny enough many times you are able to overfly Typhoons en-route since the tops are relatively low FL300 or thereabouts.
At lower altitudes the weather radar will show lots of rain, but it is rarely concentrated like in strong storm cells. So you might see everything red or yellow but it is definitely not as turbulent as the same colours associated with CBs (wet season) kind of weather. There's just lots and lots of water.
The big issue, in my opinion, are the winds generated on the ground and close to the ground. This winds in many occasions will exceed or be very close to your airplane environmental limits for crosswinds and even door operations.
Nobody taught me that. Just speak from experience after flying in one of those areas of the world for a few years.