A flat surface will plane over the water with less resistance - because everything is in alignment. Any differences in bottom shape will redirect the water’s path, causing drag. Concaves cause the water to travel farther over the board’s bottom, creating sort of a reverse lift, or suction to the wave face.
Bottom contours are always about control, not speed - an exception is the Bonzer, which uses a venturi to speed up the velocoty of the water at the fins.
A lot of towboards have a full single concave. They don’t need a flat bottom to go fast, because they have the energy of giant waves to make them do that. What they need is control. Concaves give them that. Noseriders sometimes use concaves in the nose to help suck them down up front.
Belly causes the water to follow the boards bottom to and around the rails, and helps keep the water attached to the board - at the rails.
V’s are about getting the board from edge to edge easier. A double-barrel V combines V with concave to give you the best of both - holding power, and the ability to transition into and out of turns.
Nose rocker is there to keep you from plowing your nose during paddling and takeoffs (mostly). It also presents more surface area to fight the water and creates drag. That’s one of the reasons why the noses on guns and thrusters are so pointy - less surface to push through the water. The template/rocker combo also helps turn the board out of critical spots like the pit of a steep face, and get you into a place where you can control the board more from its center or tail.
Tail rocker gives you a tighter turning radius off the back of the board, and will make it looser. Water deflection will also cause some drag, but it won’t be as noticable as nose rocker.
Every surfer has different needs and sensibilities. That’s part of what makes surfing so beautiful - there is no single right or wrong, or magic board. That’s also what makes it more art than science. If you’re always on edge, you’ll be faster on a board with more rocker and some V. If you like speeding down the line, you’ll be faster on a board with less rocker. Some surfers like to overpower their boards. Others like the board to do most of the work. Wave shape and size, along with surfer weight, size, ability, and sensibilities determine what’s right for each person.