Somewhere in the middle; some players prefer a stiff stick while others like a flexible one. It is up to each player.
It is quite simply referred to as a "hockey stick" or a "stick" by most people.
A late bow is used for increased ball control but mostly to aid in lifts, like flicks and aerial passes. A stick with a late bow is especially helpful when shooting a drag flick. Transitioning from a stick with a mid bow or little to no bow to a stick with a late bow can pose a challenge when it comes to hitting/driving the ball. However with practice, adjusting your hitting technique to the late bow in a stick is rather easy if you have a good hit to begin with. Sticks with late bows are best for forwards and mid-fielders that will be lifting the ball a lot.
A field hockey stick is a field hockey stick. There is no differentiation between those used on either surface; most stick models can and will be used on both.
In hockey stick factories.
a hockey stick! and a hockey puck! gear!